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Paper Citation Record · LEDGER

Squarefree numbers in short intervals: explicit and formalized

As of 13 August 2026, this Paper Citation Record lists 100 of 300 outbound references and 0 inbound Pith citation observations for arXiv:2608.06682.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2608.06682 v1

Coverage vector

measured 100 of 300 reference resolution

Typed states for the displayed outbound observations.

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measured 100 of 100 standing notices

One-hop event checks from named stored sources.

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

100 of 300 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ed9b8e90-a277-40ea-a081-93dad2a4050b · outbound

This paper cites Squarefree numbers in short intervals , url =.

Squarefree numbers in short intervals: explicit and formalized Squarefree numbers in short intervals , url =

Reference 1

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Squarefree numbers in short intervals: explicit and formalized 2024 , month = jan, number =

Reference 2

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This paper cites Rydin Myerson and Pankaj Vishe , display-string =.

Squarefree numbers in short intervals: explicit and formalized Rydin Myerson and Pankaj Vishe , display-string =

Reference 3

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Squarefree numbers in short intervals: explicit and formalized Number theory (

Reference 4

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Squarefree numbers in short intervals: explicit and formalized Non-split sums of coefficients of

Reference 5

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Squarefree numbers in short intervals: explicit and formalized Acta Math

Reference 6

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Squarefree numbers in short intervals: explicit and formalized Opera de cribro , url =

Reference 7

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Squarefree numbers in short intervals: explicit and formalized Unresolved cited work

Reference 8

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Squarefree numbers in short intervals: explicit and formalized Unresolved cited work

Reference 9

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Squarefree numbers in short intervals: explicit and formalized Unresolved cited work

Reference 10

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Squarefree numbers in short intervals: explicit and formalized Analytic number theory , url =

Reference 11

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Squarefree numbers in short intervals: explicit and formalized Primes represented by incomplete norm forms , url =

Reference 12

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Squarefree numbers in short intervals: explicit and formalized Linear equations in primes , url =

Reference 13

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Squarefree numbers in short intervals: explicit and formalized II , author =

Reference 14

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Squarefree numbers in short intervals: explicit and formalized Unresolved cited work

Reference 15

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Squarefree numbers in short intervals: explicit and formalized The quantitative behaviour of polynomial orbits on nilmanifolds , url =

Reference 16

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Squarefree numbers in short intervals: explicit and formalized Unresolved cited work

Reference 17

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Squarefree numbers in short intervals: explicit and formalized 2021 , month =

Reference 18

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Squarefree numbers in short intervals: explicit and formalized and Ruzsa, I

Reference 19

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Squarefree numbers in short intervals: explicit and formalized , TITLE =

Reference 20

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Squarefree numbers in short intervals: explicit and formalized and Perelli, A

Reference 21

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Squarefree numbers in short intervals: explicit and formalized New large value estimates for Dirichlet polynomials , url =

Reference 22

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Squarefree numbers in short intervals: explicit and formalized L^1 means of exponential sums with multiplicative coefficients

Reference 23

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Squarefree numbers in short intervals: explicit and formalized On gaps between squarefree numbers

Reference 24

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Squarefree numbers in short intervals: explicit and formalized 2021 , month =

Reference 25

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Squarefree numbers in short intervals: explicit and formalized , display-string =

Reference 26

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Squarefree numbers in short intervals: explicit and formalized Explicit Formulas for the Waldspurger and Bessel Models , url =

Reference 27

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Squarefree numbers in short intervals: explicit and formalized Effective Multiplicity One for GL(n) , url =

Reference 28

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Squarefree numbers in short intervals: explicit and formalized The fourth moment of the zeta-function , url =

Reference 29

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Squarefree numbers in short intervals: explicit and formalized Iwahori-Hecke Algebras

Reference 30

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Squarefree numbers in short intervals: explicit and formalized On the realisation of maximal simple types and epsilon factors of pairs

Reference 31

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Squarefree numbers in short intervals: explicit and formalized A motivated introduction to character sheaves and the orbit method for unipotent groups in positive characteristic

Reference 32

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Squarefree numbers in short intervals: explicit and formalized Multiplicity one Conjectures

Reference 33

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Squarefree numbers in short intervals: explicit and formalized The sixth power moment of Dirichlet L-functions

Reference 34

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Observation 7a1f840f-d619-47a0-b55a-4a7bf05d8139 · outbound

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Squarefree numbers in short intervals: explicit and formalized Quantum unique ergodicity for

Reference 35

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Squarefree numbers in short intervals: explicit and formalized Multiplicity one theorems for Fourier-Jacobi models

Reference 36

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Squarefree numbers in short intervals: explicit and formalized Unresolved cited work

Reference 37

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Squarefree numbers in short intervals: explicit and formalized Recent developments in mathematical Quantum Chaos

Reference 38

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Squarefree numbers in short intervals: explicit and formalized and Michel, Philippe and Venkatesh, Akshay , booktitle =

Reference 39

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no resolver link, observed 2026-08-10T22:35:33.069854Z

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source=arxiv_source observed=2026-08-10T22:35:33.069854Z digest=sha256:ca19cc9b5cb0312dd1eba7b35a6fbb72e94afed66f142cd303dd0b69517212ea

Observation d9aa4919-be2e-4407-a980-ec97d82b72a2 · outbound

This paper cites Mass Equidistribution for Automorphic Forms of Cohomological Type on GL_2.

Squarefree numbers in short intervals: explicit and formalized Mass Equidistribution for Automorphic Forms of Cohomological Type on GL_2

Reference 40

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source=arxiv_source observed=2026-08-10T22:35:33.077255Z digest=sha256:dbf9c602ce53a5f202285be934ec6aae019544efeb4c077bb4caf6e31616a4c4

Observation 4f68c7ca-48ec-40c7-9da7-dcb75adc2d12 · outbound

This paper cites Averages of Fourier coefficients of Siegel modular forms and representation of binary quadratic forms by quadratic forms in four variables , url =.

Squarefree numbers in short intervals: explicit and formalized Averages of Fourier coefficients of Siegel modular forms and representation of binary quadratic forms by quadratic forms in four variables , url =

Reference 41

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source=arxiv_source observed=2026-08-10T22:35:33.086622Z digest=sha256:6bfe6e41e398ea3313afbba6b3e903ab112b65af7ccd97b871755d7b838f2a9f

Observation f73d7de5-2a50-4d16-8193-fd36860d24c1 · outbound

This paper cites Computing power series expansions of modular forms.

Squarefree numbers in short intervals: explicit and formalized Computing power series expansions of modular forms

Reference 42

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source=arxiv_source observed=2026-08-10T22:35:33.098562Z digest=sha256:546ad61874507a25670abf393c5fa795f3d48719499332e97e9db1eec55492fc

Observation 09d1e4c8-91b9-4707-9a92-79dcb9387b76 · outbound

This paper cites The regularized.

Squarefree numbers in short intervals: explicit and formalized The regularized

Reference 43

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T22:35:33.108647Z digest=sha256:ed76e35bab17a50a192601dab174939acf6535f28d7a1497d0a97cb9b7e005a1

Observation e2e0c1d7-093a-4f9d-878e-14fb7edae78a · outbound

This paper cites , display-string =.

Squarefree numbers in short intervals: explicit and formalized , display-string =

Reference 44

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source=arxiv_source observed=2026-08-10T22:35:33.114786Z digest=sha256:fba7c51eba7f9278a71114abfb2a5ab49a1567b60efdfb5481b8708ba545b24e

Observation 1efec2df-5057-4968-b6ec-4c22dbaf352f · outbound

This paper cites Unitary representations of real reductive groups.

Squarefree numbers in short intervals: explicit and formalized Unitary representations of real reductive groups

Reference 45

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source=arxiv_source observed=2026-08-10T22:35:33.120553Z digest=sha256:6f11f9078584bf4d6ab61648048a840fdc8dd112a8c897ddf4ed9407d6c8270c

Observation c5f779c6-4b5d-4410-95b3-49d6a77a56eb · outbound

This paper cites and Zhao, P.

Squarefree numbers in short intervals: explicit and formalized and Zhao, P

Reference 46

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doi, observed 2026-08-10T22:35:36.013431Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T22:35:33.127695Z digest=sha256:ba5211d02903235c22ddec5ca86b01b6be08c97ccf9a015cf90d7c95a6f5538f

Observation 0fbbd5f2-928f-4da0-97d0-1fc07b44bac3 · outbound

This paper cites A Note on the Fourier coefficients of half-integral weight modular forms.

Squarefree numbers in short intervals: explicit and formalized A Note on the Fourier coefficients of half-integral weight modular forms

Reference 47

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local_arxiv, observed 2026-08-10T22:35:35.992570Z

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source=arxiv_source observed=2026-08-10T22:35:33.140432Z digest=sha256:30fba1fa5698d2183e98f25c2145235303fe83dd96e67699152d9903adfc2723

Observation 44de3267-b445-4d2d-96e5-de677fc657cb · outbound

This paper cites The Whittaker period formula on Metaplectic SL(2).

Squarefree numbers in short intervals: explicit and formalized The Whittaker period formula on Metaplectic SL(2)

Reference 48

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source=arxiv_source observed=2026-08-10T22:35:33.153142Z digest=sha256:75704da3174fa4058695c63f440df14c83d55c6d640903c4fa0f5d672b399d5e

Observation 337a26f3-a563-408b-aa84-31bde6cd6fa1 · outbound

This paper cites Families of.

Squarefree numbers in short intervals: explicit and formalized Families of

Reference 49

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source=arxiv_source observed=2026-08-10T22:35:33.159343Z digest=sha256:7fddef63a922a25bb9455a4d2229f363c3ffbd27a3473ab167ebc36f6c1e02fe

Observation 4284028b-9402-4606-a2d6-03f947ec5383 · outbound

This paper cites On the sup-norm of SL(3) Hecke-Maass cusp forms.

Squarefree numbers in short intervals: explicit and formalized On the sup-norm of SL(3) Hecke-Maass cusp forms

Reference 50

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source=arxiv_source observed=2026-08-10T22:35:33.166060Z digest=sha256:6521919491dce46a5b4097a929f0d9f8c54685421be5bf05835cbb8fc4c6d932

Observation 9b1f3624-c2fb-4ced-8e5b-af06bd551636 · outbound

This paper cites Subconvexity for sup-norms of cusp forms on.

Squarefree numbers in short intervals: explicit and formalized Subconvexity for sup-norms of cusp forms on

Reference 51

Resolution
verified exact
doi, observed 2026-08-10T22:35:35.964034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T22:35:33.175308Z digest=sha256:9cacc57dc28380da7e45ade1060a0430c224a728f53a1eb2c04e4ed410f381e6

Observation 3a39bfe1-816e-47a2-90f2-d4b0d33086e4 · outbound

This paper cites Upper bounds for Maass forms on semisimple groups.

Squarefree numbers in short intervals: explicit and formalized Upper bounds for Maass forms on semisimple groups

Reference 52

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source=arxiv_source observed=2026-08-10T22:35:33.182008Z digest=sha256:93791e4c376af973aa599301f9ab43de594ea7aef9f1c930603d6ecbf70f9660

Observation 8b2b389b-ad72-4fd1-bbe7-f6270e63ac7d · outbound

This paper cites Sub-Weyl subconvexity for Dirichlet L-functions to prime power moduli.

Squarefree numbers in short intervals: explicit and formalized Sub-Weyl subconvexity for Dirichlet L-functions to prime power moduli

Reference 53

Resolution
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no resolver link, observed 2026-08-10T22:35:33.190283Z

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source=arxiv_source observed=2026-08-10T22:35:33.190283Z digest=sha256:d489b488e98f71bf6f56298d443395ebbed72a424917579956e061c365d3123a

Observation e22263fe-f872-441c-a9c7-fcdf93e51ca3 · outbound

This paper cites Triple product formula and mass equidistribution on modular curves of level N.

Squarefree numbers in short intervals: explicit and formalized Triple product formula and mass equidistribution on modular curves of level N

Reference 54

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source=arxiv_source observed=2026-08-10T22:35:33.198379Z digest=sha256:183213b6e65dbe942327e0a029022fba41594dd6d69d1077a69f27ae8f8783e6

Observation b0489df5-3cc5-48f7-ba65-118e2bd07921 · outbound

This paper cites Large values of cusp forms on GL(n).

Squarefree numbers in short intervals: explicit and formalized Large values of cusp forms on GL(n)

Reference 55

Resolution
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source=arxiv_source observed=2026-08-10T22:35:33.207692Z digest=sha256:64285e7b228397b057293ba280e5e56d2ca9e430beb54fdebd137517f45dcd7c

Observation 20d2b033-0f04-45b5-a698-1755dc6b7cdd · outbound

This paper cites Integer points and their orthogonal lattices , url =.

Squarefree numbers in short intervals: explicit and formalized Integer points and their orthogonal lattices , url =

Reference 56

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.218428Z digest=sha256:178b71a98716e8fe6bc5ca2ce945efb885442fc85563ce32251b0be2786fc2fe

Observation f2df9296-9c97-4bf8-a6ef-e7f8d77dfcac · outbound

This paper cites The amplification method in the context of GL(n) automorphic forms , url =.

Squarefree numbers in short intervals: explicit and formalized The amplification method in the context of GL(n) automorphic forms , url =

Reference 57

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no resolver link, observed 2026-08-10T22:35:33.223420Z

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source=arxiv_source observed=2026-08-10T22:35:33.223420Z digest=sha256:4262b69f70976cb37be001bd1cba225a5ea57b2aa498f700519af2a1de747237

Observation 52c67283-469e-4247-b642-2a02e31b03fc · outbound

This paper cites On the subconvexity problem for L-functions on GL(3).

Squarefree numbers in short intervals: explicit and formalized On the subconvexity problem for L-functions on GL(3)

Reference 58

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no resolver link, observed 2026-08-10T22:35:33.230427Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.230427Z digest=sha256:9c4ea3c114b1fa370523373ee5c1b47c92b533f7dba2762e93dbb7add9f1db75

Observation 18af4b2e-f36b-475c-a9e6-29fb31dab51a · outbound

This paper cites Sato-Tate equidistribution for families of Hecke-Maass forms on SL(n,R)/SO(n).

Squarefree numbers in short intervals: explicit and formalized Sato-Tate equidistribution for families of Hecke-Maass forms on SL(n,R)/SO(n)

Reference 59

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no resolver link, observed 2026-08-10T22:35:33.238100Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.238100Z digest=sha256:f758b741c57ef75c27e52cf22ef439a829c980759566f4f7dadb7780ef46440e

Observation 97b2d4ad-ba50-42de-bdbf-4f6abc7ce077 · outbound

This paper cites Effective equidistribution of shears and applications , url =.

Squarefree numbers in short intervals: explicit and formalized Effective equidistribution of shears and applications , url =

Reference 60

Resolution
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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.245549Z digest=sha256:3620c9c68cbdd9efec32eb25751ba446041b02e35e2717c53870ff8bb9d91c0c

Observation b14a56ba-c050-4488-97e5-6707e4e83700 · outbound

This paper cites A local trace formula for the Gan-Gross-Prasad conjecture for unitary groups: the archimedean case.

Squarefree numbers in short intervals: explicit and formalized A local trace formula for the Gan-Gross-Prasad conjecture for unitary groups: the archimedean case

Reference 61

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no resolver link, observed 2026-08-10T22:35:33.254734Z

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source=arxiv_source observed=2026-08-10T22:35:33.254734Z digest=sha256:3c165612b936717b3273092b7edba5c1ad97a92c9f402227658e9ef760624da5

Observation 0a58438c-08e5-440b-8332-bbbfa6276ffb · outbound

This paper cites Microlocal properties of Shubin pseudodifferential and localization operators , url =.

Squarefree numbers in short intervals: explicit and formalized Microlocal properties of Shubin pseudodifferential and localization operators , url =

Reference 62

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no resolver link, observed 2026-08-10T22:35:33.262418Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.262418Z digest=sha256:7ddda055ca596e9650332763fc1503c1e495619534af01e803b10834c9e1cf8b

Observation 91450c6a-cff8-4ad3-82c3-e9f6e6c781de · outbound

This paper cites Comparison of local spherical characters and the Ichino-Ikeda conjecture for unitary groups.

Squarefree numbers in short intervals: explicit and formalized Comparison of local spherical characters and the Ichino-Ikeda conjecture for unitary groups

Reference 63

Resolution
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no resolver link, observed 2026-08-10T22:35:33.274163Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.274163Z digest=sha256:5dafbde115b1071f36ff91bf343af2efb99d7710d7a95249507b4a3c70069a78

Observation 087162fc-ef95-4a1f-80fc-bd51373b33ed · outbound

This paper cites One-Level density for holomorphic cusp forms of arbitrary level.

Squarefree numbers in short intervals: explicit and formalized One-Level density for holomorphic cusp forms of arbitrary level

Reference 64

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no resolver link, observed 2026-08-10T22:35:33.282655Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.282655Z digest=sha256:c919a4498005ec65f35919f961f98ec98c80fb31d3463df769858d118e321aca

Observation c082ade4-1998-48dc-8a5c-c9e8a9f676b9 · outbound

This paper cites Twists of $GL(3)$ $L$-functions.

Squarefree numbers in short intervals: explicit and formalized Twists of $GL(3)$ $L$-functions

Reference 65

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no resolver link, observed 2026-08-10T22:35:33.294525Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.294525Z digest=sha256:249503e01421b18c5635a07a28688147d7b32de627b2df846858365bdd12a4bc

Observation af45cd33-6936-47bc-98bf-b79df6e580b0 · outbound

This paper cites Quantum ergodicity and.

Squarefree numbers in short intervals: explicit and formalized Quantum ergodicity and

Reference 66

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no resolver link, observed 2026-08-10T22:35:33.300221Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.300221Z digest=sha256:aeebe0f1ef183291ae03ac018b5b438f4976850cb36e2235437a73a056c54388

Observation befdf686-1aa3-4d8b-8280-048b115448c7 · outbound

This paper cites Hybrid subconvexity bounds for twisted $L$-functions on $GL(3)$.

Squarefree numbers in short intervals: explicit and formalized Hybrid subconvexity bounds for twisted $L$-functions on $GL(3)$

Reference 67

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no resolver link, observed 2026-08-10T22:35:33.310358Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.310358Z digest=sha256:4f1198c2db9d809d78210a91d5ccd37d2c11ac59c626aa095e6bc6e169f1652d

Observation cc372780-dabf-4702-90e3-5500eb25403d · outbound

This paper cites Quantum Unique Ergodicity for half-integral weight forms.

Squarefree numbers in short intervals: explicit and formalized Quantum Unique Ergodicity for half-integral weight forms

Reference 68

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.324936Z digest=sha256:89d1a58625613f89b70cf5ca6eb66abe180c3b19dbcdd76505c0bd9ba87efad0

Observation df0e9353-a65d-44af-8e68-ecdf683bf790 · outbound

This paper cites Young , display-string =.

Squarefree numbers in short intervals: explicit and formalized Young , display-string =

Reference 69

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no resolver link, observed 2026-08-10T22:35:33.332518Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.332518Z digest=sha256:815f8735ff109eacccc05c53140771b112051cd9c4b96f1ebabfe8961c87492c

Observation dc03eb59-d255-4f46-b465-9b49d58e4147 · outbound

This paper cites An explicit inversion formula for the p -adic Whittaker transform on.

Squarefree numbers in short intervals: explicit and formalized An explicit inversion formula for the p -adic Whittaker transform on

Reference 70

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no resolver link, observed 2026-08-10T22:35:33.349922Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.349922Z digest=sha256:ff82f0dca70a7a6122da01bf39a8062ea2d7f97a5c2ebb5fea0ec582c2093ba0

Observation c84a2e7e-9a1a-4f8b-8515-04d459bf49ac · outbound

This paper cites Wallach , display-string =.

Squarefree numbers in short intervals: explicit and formalized Wallach , display-string =

Reference 71

Resolution
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no resolver link, observed 2026-08-10T22:35:33.356478Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.356478Z digest=sha256:00c44898f7bf693692d713804f5d6a5b0cfaff3158a421aec17510f4dfffa25a

Observation 0d4f4c82-6117-4db3-92b1-d4cbc67dcf39 · outbound

This paper cites Twisted moments of L-functions and spectral reciprocity.

Squarefree numbers in short intervals: explicit and formalized Twisted moments of L-functions and spectral reciprocity

Reference 72

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no resolver link, observed 2026-08-10T22:35:33.363060Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.363060Z digest=sha256:5bdd504fba3595e999178dc13924dacc9b20bb216b1b802e9fa9e57816f992b0

Observation 68627d0e-025b-4402-acb4-85c2f8f5c25f · outbound

This paper cites Rankin-Selberg periods for spherical principal series.

Squarefree numbers in short intervals: explicit and formalized Rankin-Selberg periods for spherical principal series

Reference 73

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.370033Z digest=sha256:77da0e6ed753a4e882fbec1baf3bc0f2709ce2ff6a521ba1945186e19aabc300

Observation 832a1e64-8f8d-4ca4-b012-4354f416fe48 · outbound

This paper cites Nelson and Abhishek Saha , display-string =.

Squarefree numbers in short intervals: explicit and formalized Nelson and Abhishek Saha , display-string =

Reference 74

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no resolver link, observed 2026-08-10T22:35:33.376041Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.376041Z digest=sha256:8c03ce871f44ac5d413f190e16e44f11009b05951dc318a9fa9dbd58c13b8e1b

Observation 07d2ff49-93f8-46f1-871b-ef26a3979f40 · outbound

This paper cites Upper bounds for geodesic periods over rank one locally symmetric spaces , url =.

Squarefree numbers in short intervals: explicit and formalized Upper bounds for geodesic periods over rank one locally symmetric spaces , url =

Reference 75

Resolution
verified exact
doi, observed 2026-08-10T22:35:35.892854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T22:35:33.381418Z digest=sha256:5d8343f2f6814ebb2fbd239f2281e076f6da75d90200f32980af2b4c7dc1e86e

Observation b9da2bc9-d649-416a-a5cd-a7acf6d29138 · outbound

This paper cites Subconvexity for symmetric square $L$-functions.

Squarefree numbers in short intervals: explicit and formalized Subconvexity for symmetric square $L$-functions

Reference 76

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.392639Z digest=sha256:d8bac3559b236e9f6f6fc21b8d6647ca54c0f1b5bdf0d4f6b972818e91e7e9b6

Observation 866e1adc-9d29-4cdb-96cd-7621e036322d · outbound

This paper cites Oscillatory integrals with uniformity in parameters.

Squarefree numbers in short intervals: explicit and formalized Oscillatory integrals with uniformity in parameters

Reference 77

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no resolver link, observed 2026-08-10T22:35:33.399233Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.399233Z digest=sha256:7b1806cea85b18969f22054902a9f61003a4bcc746f2863b589553aba009c9b4

Observation 30c87345-8945-4bc0-bcf1-264d85c5b9d5 · outbound

This paper cites A note on Burgess bound.

Squarefree numbers in short intervals: explicit and formalized A note on Burgess bound

Reference 78

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.408223Z digest=sha256:f5a75991a3aecc13605ef0956ea95128910793faa8fdb493b2c5f1b8f29d9716

Observation f876be07-5ab9-4d71-93ad-110e2c5ac55e · outbound

This paper cites Lectures on Applied -adic Cohomology , url =.

Squarefree numbers in short intervals: explicit and formalized Lectures on Applied -adic Cohomology , url =

Reference 79

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no resolver link, observed 2026-08-10T22:35:33.414464Z

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source=arxiv_source observed=2026-08-10T22:35:33.414464Z digest=sha256:8ee8cf1e4bfa7d43ef65ddf2844a9c220bcd74df2dd61d98662869ba357cbeec

Observation 94dffa75-3942-4950-aa67-53e93e57c71c · outbound

This paper cites Periods, cycles, and $L$-functions: a relative trace formula approach.

Squarefree numbers in short intervals: explicit and formalized Periods, cycles, and $L$-functions: a relative trace formula approach

Reference 80

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source=arxiv_source observed=2026-08-10T22:35:33.420948Z digest=sha256:238c433517d73f6fd24c058e7456af11d7149040103cedf73688d7cc60a3d8ff

Observation 1b175e06-5166-40f3-9649-91b8aa268d1d · outbound

This paper cites Bounds for twists of $\rm GL(3)$ $L$-functions.

Squarefree numbers in short intervals: explicit and formalized Bounds for twists of $\rm GL(3)$ $L$-functions

Reference 81

Resolution
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no resolver link, observed 2026-08-10T22:35:33.426926Z

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source=arxiv_source observed=2026-08-10T22:35:33.426926Z digest=sha256:e39c746f56ae342a6e1719a29d931ebc457b7d896575be7f78cd51504c753a7c

Observation 0dec8e26-f94b-4507-bc81-53ef0802575f · outbound

This paper cites Numerical computation of Petersson inner products and $q$-expansions.

Squarefree numbers in short intervals: explicit and formalized Numerical computation of Petersson inner products and $q$-expansions

Reference 82

Resolution
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no resolver link, observed 2026-08-10T22:35:33.432105Z

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source=arxiv_source observed=2026-08-10T22:35:33.432105Z digest=sha256:1312ca2d3c2bdb73d4f8904ce6d92abed42a74fcf6a2b7a0bd76841238d923a4

Observation 071a3dc4-31a8-4904-9b86-4fd861567b35 · outbound

This paper cites A quantum probabilistic approach to Hecke algebras for.

Squarefree numbers in short intervals: explicit and formalized A quantum probabilistic approach to Hecke algebras for

Reference 83

Resolution
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no resolver link, observed 2026-08-10T22:35:33.438460Z

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source=arxiv_source observed=2026-08-10T22:35:33.438460Z digest=sha256:afc9364fbe72732ae5c78363b4888e8ad613e8053b18a7199697f55feef44568

Observation 20ba84aa-c106-4e2d-8983-d4f3cd2fc229 · outbound

This paper cites The Burgess bound via a trivial delta method.

Squarefree numbers in short intervals: explicit and formalized The Burgess bound via a trivial delta method

Reference 84

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no resolver link, observed 2026-08-10T22:35:33.443508Z

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source=arxiv_source observed=2026-08-10T22:35:33.443508Z digest=sha256:5b80deca66dd6459a26ce52f186a4e7583d780a0399d2f8980948b1551dfa4b1

Observation cdd0c815-40c5-4847-8b14-4e99de5a797d · outbound

This paper cites Bounds for $GL_3$ $L$-functions in depth aspect.

Squarefree numbers in short intervals: explicit and formalized Bounds for $GL_3$ $L$-functions in depth aspect

Reference 85

Resolution
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no resolver link, observed 2026-08-10T22:35:33.450636Z

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source=arxiv_source observed=2026-08-10T22:35:33.450636Z digest=sha256:8b0fd18c57fc6c64236987a32eae57f63f47eec082161e7ae8cbe5266e8d3ffa

Observation de87c8cb-dab9-45bc-8f6f-9b86d5a328a0 · outbound

This paper cites The second moment theory of families of L-functions.

Squarefree numbers in short intervals: explicit and formalized The second moment theory of families of L-functions

Reference 86

Resolution
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no resolver link, observed 2026-08-10T22:35:33.458147Z

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source=arxiv_source observed=2026-08-10T22:35:33.458147Z digest=sha256:e0f949643db06cce1280077130b46036661e3b2eec44e7990b5e21f2ec6ca744

Observation 14441f64-0995-43cf-b521-e777ef00c5d8 · outbound

This paper cites Transfer operators and Hankel transforms between relative trace formulas, I: character theory.

Squarefree numbers in short intervals: explicit and formalized Transfer operators and Hankel transforms between relative trace formulas, I: character theory

Reference 87

Resolution
metadata mismatch
local_arxiv, observed 2026-08-10T22:35:35.874190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T22:35:33.464272Z digest=sha256:ea3b909dbab2fbb07ad527f5c8c1d892f91cea6782d1bf3642745d1dc4da3b8d

Observation af7fa0a5-e1f6-41db-a559-43f907b63d4d · outbound

This paper cites Moments of Spinor L-Functions and symplectic Kloosterman sums , url =.

Squarefree numbers in short intervals: explicit and formalized Moments of Spinor L-Functions and symplectic Kloosterman sums , url =

Reference 88

Resolution
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no resolver link, observed 2026-08-10T22:35:33.470179Z

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source=arxiv_source observed=2026-08-10T22:35:33.470179Z digest=sha256:95d649ee2d7dd4ef898d9e8e17e5529190e329f92f526ac18840c148caa1a0bc

Observation c92315e4-0a76-47ff-94cd-2481bb274f9c · outbound

This paper cites On the Ramanujan conjecture for automorphic forms over function fields I.

Squarefree numbers in short intervals: explicit and formalized On the Ramanujan conjecture for automorphic forms over function fields I

Reference 89

Resolution
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no resolver link, observed 2026-08-10T22:35:33.481392Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.481392Z digest=sha256:dd05b1559381ad47a2e1f9a86e222e091516b3c3a30ec5c8bbcf97a281b8b979

Observation 24cbe132-c565-4e8e-b16e-8abfdd87c30e · outbound

This paper cites Subconvexity for twisted $L$-functions on $\mathrm{GL}_3$ over the Gaussian number field.

Squarefree numbers in short intervals: explicit and formalized Subconvexity for twisted $L$-functions on $\mathrm{GL}_3$ over the Gaussian number field

Reference 90

Resolution
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no resolver link, observed 2026-08-10T22:35:33.490700Z

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source=arxiv_source observed=2026-08-10T22:35:33.490700Z digest=sha256:0decc091ef805110023968584d5d5304d459cdafc0dd9438059b854bf405ee9e

Observation 296ff2a3-24cf-42bc-a582-beb847f9066d · outbound

This paper cites an unresolved cited work.

Squarefree numbers in short intervals: explicit and formalized Unresolved cited work

Reference 91

Resolution
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no resolver link, observed 2026-08-10T22:35:33.496658Z

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source=arxiv_source observed=2026-08-10T22:35:33.496658Z digest=sha256:da00b4b159b4e2a16ea4a0cae485f435f55afe0aaa12a12f26ce0a2584c0afd2

Observation dcf132e0-16f3-4bf7-9641-3c1355ebd47d · outbound

This paper cites Joint distribution of spins , url =.

Squarefree numbers in short intervals: explicit and formalized Joint distribution of spins , url =

Reference 92

Resolution
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no resolver link, observed 2026-08-10T22:35:33.503875Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.503875Z digest=sha256:ceb202052c4bea6a2318f8c982de7ec24e1abe2e9c1d37ea607352f6d348ffda

Observation 1c69162d-3fc9-4fcb-9d63-feb41205b04f · outbound

This paper cites Sup norm on $\text{PGL}_n$ in depth aspect.

Squarefree numbers in short intervals: explicit and formalized Sup norm on $\text{PGL}_n$ in depth aspect

Reference 93

Resolution
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no resolver link, observed 2026-08-10T22:35:33.509024Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.509024Z digest=sha256:161904cac3fa7e27f64bff73f5a74f91b44e1d1c005ffcfadbea2b07ea06ab19

Observation 70e8ab0a-3075-461f-ac81-5a50bf7ddb0e · outbound

This paper cites On the rationality of cycle integrals of meromorphic modular forms , url =.

Squarefree numbers in short intervals: explicit and formalized On the rationality of cycle integrals of meromorphic modular forms , url =

Reference 94

Resolution
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no resolver link, observed 2026-08-10T22:35:33.514809Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.514809Z digest=sha256:2ce1e3bd74b2e4cef27c499c6a79252948738d09bc9c73c28578678493635199

Observation 00002821-f670-4b52-80e5-41b5f4071d8e · outbound

This paper cites Subconvexity for $GL(3)\times GL(2)$ $L$-functions in $t$-aspect.

Squarefree numbers in short intervals: explicit and formalized Subconvexity for $GL(3)\times GL(2)$ $L$-functions in $t$-aspect

Reference 95

Resolution
unresolved
no resolver link, observed 2026-08-10T22:35:33.520837Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.520837Z digest=sha256:aee678eeb7870396fc45c1ff645515dd20c112c1d9af822b07c1eaeefff3559d

Observation ded660a4-d503-44ad-9a92-7d588a4c7a39 · outbound

This paper cites New test vector for Waldspurger's period integral, relative trace formula, and hybrid subconvexity bounds.

Squarefree numbers in short intervals: explicit and formalized New test vector for Waldspurger's period integral, relative trace formula, and hybrid subconvexity bounds

Reference 96

Resolution
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no resolver link, observed 2026-08-10T22:35:33.527516Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.527516Z digest=sha256:9591312dc89d1d00b102fa12de3722f7b0eb1e7eecd7c18b45dcae22c0a6e6ed

Observation b474238a-908f-4498-840b-dd1a16e4d806 · outbound

This paper cites Special value formula for the twisted triple product $L$-function and an application to the restricted $L^2$-norm problem.

Squarefree numbers in short intervals: explicit and formalized Special value formula for the twisted triple product $L$-function and an application to the restricted $L^2$-norm problem

Reference 97

Resolution
unresolved
no resolver link, observed 2026-08-10T22:35:33.533088Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.533088Z digest=sha256:6a00c591c055f4b56942a9dc8347e11346d0266149e8b78dd9b10b5e83a864e3

Observation 6d328c5e-aea0-420c-ab92-782f6a22b80c · outbound

This paper cites , display-string =.

Squarefree numbers in short intervals: explicit and formalized , display-string =

Reference 98

Resolution
unresolved
no resolver link, observed 2026-08-10T22:35:33.538110Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.538110Z digest=sha256:30c78a92bd5e4aa02fb8d974ad3f18ae7000fc69103d385bbeb30c39aba75470

Observation ee0c1aa7-8c4f-4cd5-b49e-a0d90a2a34f6 · outbound

This paper cites , display-string =.

Squarefree numbers in short intervals: explicit and formalized , display-string =

Reference 99

Resolution
verified exact
doi, observed 2026-08-10T22:35:35.823114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T22:35:33.543295Z digest=sha256:112b6d54b629fe0d440187fb678914a1232d8ca3e4dad02437a9865bd50b60f7

Observation 877fc71f-97c6-4040-9343-2e08fc6a3563 · outbound

This paper cites Level of distribution of unbalanced convolutions.

Squarefree numbers in short intervals: explicit and formalized Level of distribution of unbalanced convolutions

Reference 100

Resolution
metadata mismatch
local_arxiv, observed 2026-08-10T22:35:35.800254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-10T22:35:33.548664Z digest=sha256:4005a023e6fd96d29401978825dd50ac881fb6eb35af67b82e1e4fd22fb332ef

Pith citing papers

No inbound Pith citation observations are available.