Paper Citation Record · LEDGER

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions

As of 17 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 1 inbound Pith citation observation for arXiv:2412.12410.

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

pith.paper-citation-record.v1
2412.12410 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T14:20:13.214690Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T11:17:51.996303Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T07:57:45.377364Z

Reference resolution

29 of 29 outbound references displayed

verified exact1
verified fuzzy13
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c99f3ead-d5f8-4a48-b1a5-d8e65bd500c3 · outbound

This paper cites Weyl bound for GL(2) in t -aspect via a simple delta method.

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions Weyl bound for GL(2) in t -aspect via a simple delta method

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:20:13.651597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 87b96a45-5583-4665-b4ff-47b2b101f0be · outbound

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

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions On the subconvexity problem for L -functions on GL(3)

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:20:13.634894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 573ea8a9-fe11-430b-a47d-25e1d096ae22 · outbound

This paper cites Trilinear forms with K loosterman fractions.

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions Trilinear forms with K loosterman fractions

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:20:13.620249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5fb42a7b-56cf-4773-845b-dc6387d0c223 · outbound

This paper cites Uniform subconvexity and symmetry breaking reciprocity.

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions Uniform subconvexity and symmetry breaking reciprocity

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:20:13.605222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c785c4ed-7fc2-4a71-b7e1-ddde30469d84 · outbound

This paper cites Distribution of mass of holomorphic cusp forms.

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions Distribution of mass of holomorphic cusp forms

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-11T14:20:13.110804Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 274fb102-3255-42fd-82cb-7d02102de130 · outbound

This paper cites an unresolved cited work.

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:20:13.582520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2f44ce86-e12e-439e-930a-07f7a401b60b · outbound

This paper cites an unresolved cited work.

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-11T14:20:13.119678Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a57c86b-efd5-4e37-a05d-af464a2b260d · outbound

This paper cites an unresolved cited work.

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:20:13.559805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 06e7e49c-fdbb-4cc2-a83f-51c49f2e5f95 · outbound

This paper cites an unresolved cited work.

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:20:13.544009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5f2b16cf-8696-4b91-bf0c-7a33257d0b16 · outbound

This paper cites an unresolved cited work.

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:20:13.527991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 121ac07d-9fe4-491d-beed-681b2f7b58a2 · outbound

This paper cites Subconvex bounds for automorphic L -functions and applications.

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions Subconvex bounds for automorphic L -functions and applications

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:20:13.512274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5518d949-a099-4055-9cd7-ebc62be5a513 · outbound

This paper cites The subconvexity problem for R ankin- S elberg L -functions and equidistribution of H eegner points.

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions The subconvexity problem for R ankin- S elberg L -functions and equidistribution of H eegner points

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T14:20:13.140937Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b560af2-9264-4b5e-a332-6ee81ca52857 · outbound

This paper cites Analytic number theory , volume 53 of American Mathematical Society Colloquium Publications.

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions Analytic number theory , volume 53 of American Mathematical Society Colloquium Publications

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T14:20:13.145371Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8576bb95-7670-43f1-894f-11be0f218c93 · outbound

This paper cites The spectral growth of automorphic L -functions.

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions The spectral growth of automorphic L -functions

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:20:13.477809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9a18427d-f94d-4759-aba3-fbcf364920d8 · outbound

This paper cites Subconvexity bound for GL (3) GL (2) L -functions: hybrid level aspect.

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions Subconvexity bound for GL (3) GL (2) L -functions: hybrid level aspect

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:20:13.463425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ce2b1e1f-a6cf-4c15-854e-ae0e5026cb3c · outbound

This paper cites Kowalski, P.

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions Kowalski, P

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-11T14:20:13.157879Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7404bf6e-079a-48ee-bd6e-162db5748efc · outbound

This paper cites an unresolved cited work.

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:20:13.440059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 68200463-908c-4052-a077-126b3cb26c4d · outbound

This paper cites Shifted convolution sums for GL(3) GL(2) averaged over weighted sets.

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions Shifted convolution sums for GL(3) GL(2) averaged over weighted sets

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:20:13.426497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ab4c2a48-36fd-489d-bb38-3d43c187ba34 · outbound

This paper cites Bounds for GL (3) GL (2) L -functions and GL (3) L -functions.

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions Bounds for GL (3) GL (2) L -functions and GL (3) L -functions

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:20:13.411403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7c8362c6-5a06-4a64-99a6-34506a522132 · outbound

This paper cites Primes in arithmetic progressions to large moduli, and Goldbach beyond the square-root barrier.

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions Primes in arithmetic progressions to large moduli, and Goldbach beyond the square-root barrier

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-11T14:20:13.174414Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4bc260a-d0b6-47e6-9f71-4198f62de569 · outbound

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

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions Bounds for twists of GL(3) L -functions

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:20:13.396366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 753e3387-7e5b-44b7-bb8c-af9b14c645b3 · outbound

This paper cites an unresolved cited work.

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:20:13.381724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation eb2f0c48-5776-4324-8659-7c9a9817f6fa · outbound

This paper cites On a hybrid bound for twisted L -values.

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions On a hybrid bound for twisted L -values

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:20:13.367030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c07bf3f0-cd36-4a09-89ad-ca048e9cb8c7 · outbound

This paper cites The circle method and bounds for L -functions--- III : t -aspect subconvexity for GL(3) L -functions.

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions The circle method and bounds for L -functions--- III : t -aspect subconvexity for GL(3) L -functions

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:20:13.350802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f55780fb-31e0-4175-83e0-64c16476d2c2 · outbound

This paper cites The circle method and bounds for L -functions--- IV : S ubconvexity for twists of GL(3) L -functions.

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions The circle method and bounds for L -functions--- IV : S ubconvexity for twists of GL(3) L -functions

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:20:13.336364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 30c1c047-bad1-4171-ab0f-16ccc891c265 · outbound

This paper cites The subconvexity problem for GL _2.

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions The subconvexity problem for GL _2

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-11T14:20:13.200118Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b9dae96c-9b5a-45b5-957b-2dbfbc4edf52 · outbound

This paper cites Bounds for standard $L$-functions.

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions Bounds for standard $L$-functions

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-11T14:20:13.204168Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6749669-1663-4c7a-a7bc-fef453ab484e · outbound

This paper cites Sub-convexity problem for Rankin-Selberg $L$-functions.

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions Sub-convexity problem for Rankin-Selberg $L$-functions

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-11T14:20:13.280561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 44aba7ef-0120-4e04-acac-f8095bffb43d · outbound

This paper cites Periods and Reciprocity II.

Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions Periods and Reciprocity II

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-11T14:20:13.214690Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 833b4889-31dc-4676-aa74-26b80c1f3956 · inbound

Rankin--Selberg Subconvexity via Spectral Reciprocity cites this paper.

Rankin--Selberg Subconvexity via Spectral Reciprocity Level aspect subconvexity for $\textrm{GL(2)}\times \textrm{GL(2)}$ $\textrm{L}$-functions

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-07-03T07:57:45.378753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.