Paper Citation Record · LEDGER

Bounds for Moments of Twisted Fourier coefficients of Modular Forms

As of 13 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 2 inbound Pith citation observations for arXiv:2412.12515.

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

pith.paper-citation-record.v1
2412.12515 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T14:13:29.399855Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T20:21:54.873353Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T22:24:40.299987Z

Reference resolution

12 of 12 outbound references displayed

verified exact0
verified fuzzy3
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b215c7dd-9f14-43e5-ae67-dbf04893b48a · outbound

This paper cites Davenport, Multiplicative Number Theory , Third edition, Graduate Texts in Mathematics, vol.

Bounds for Moments of Twisted Fourier coefficients of Modular Forms Davenport, Multiplicative Number Theory , Third edition, Graduate Texts in Mathematics, vol

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:13:30.049924Z

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.

Observation 8f2c15bb-8502-4a38-9c72-1b8d92baa83e · outbound

This paper cites Deligne, La conjecture de Weil.

Bounds for Moments of Twisted Fourier coefficients of Modular Forms Deligne, La conjecture de Weil

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T14:13:29.327089Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c0cac332-0446-445e-946b-2f405c761f76 · outbound

This paper cites an unresolved cited work.

Bounds for Moments of Twisted Fourier coefficients of Modular Forms Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:13:29.952943Z

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.

Observation 99650fee-5b48-4fdb-82c4-d206fae03dc5 · outbound

This paper cites Gao and L.

Bounds for Moments of Twisted Fourier coefficients of Modular Forms Gao and L

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T14:13:29.340752Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ae3f82d-dd04-49e3-9270-65796b38a368 · outbound

This paper cites Sharp conditional bounds for moments of the Riemann zeta function.

Bounds for Moments of Twisted Fourier coefficients of Modular Forms Sharp conditional bounds for moments of the Riemann zeta function

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-11T14:13:29.348672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4475138f-004d-408d-912b-d22b4011f00e · outbound

This paper cites an unresolved cited work.

Bounds for Moments of Twisted Fourier coefficients of Modular Forms Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:13:29.922503Z

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.

Observation e8df6e0d-d763-4e02-b81e-de96cfa8a5be · outbound

This paper cites Iwaniec and E.

Bounds for Moments of Twisted Fourier coefficients of Modular Forms Iwaniec and E

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-11T14:13:29.363714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 82fc2f10-6afa-4396-8ff2-25a4714c3a76 · outbound

This paper cites Koukoulopoulos, Pretentious multiplicative functions and the prime number theorem for arithmetic progressions , Compos.

Bounds for Moments of Twisted Fourier coefficients of Modular Forms Koukoulopoulos, Pretentious multiplicative functions and the prime number theorem for arithmetic progressions , Compos

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:13:29.764290Z

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.

Observation ce0d3fe6-4d79-4293-9b56-f6cb7176b539 · outbound

This paper cites an unresolved cited work.

Bounds for Moments of Twisted Fourier coefficients of Modular Forms Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-11T14:13:29.380864Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb0cca47-e319-45ec-b57b-368a7e0c7ffb · outbound

This paper cites Shimura, On the holomorphy of certain Dirichlet series , Proc.

Bounds for Moments of Twisted Fourier coefficients of Modular Forms Shimura, On the holomorphy of certain Dirichlet series , Proc

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T14:13:29.386847Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4dae2c02-67fb-4cd3-b11d-b6094153529e · outbound

This paper cites Soundararajan, Moments of the Riemann zeta function , Ann.

Bounds for Moments of Twisted Fourier coefficients of Modular Forms Soundararajan, Moments of the Riemann zeta function , Ann

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:13:29.620253Z

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.

Observation f43a658d-f031-4251-a5d9-11bc72cfa50f · outbound

This paper cites A lower bound on high moments of character sums.

Bounds for Moments of Twisted Fourier coefficients of Modular Forms A lower bound on high moments of character sums

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T14:13:29.399855Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 96bb9e8c-0e8b-426d-97d4-d4874074ba2e · inbound

Mean squares of quadratic twists of the Fourier coefficients of modular forms cites this paper.

Mean squares of quadratic twists of the Fourier coefficients of modular forms Bounds for Moments of Twisted Fourier coefficients of Modular Forms

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-06T22:24:40.399363Z

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.

Observation 5372e55c-c7aa-4d5f-b588-a61103e1cd20 · inbound

Bounds for moments of twisted quadratic characters of prime modulus cites this paper.

Bounds for moments of twisted quadratic characters of prime modulus Bounds for Moments of Twisted Fourier coefficients of Modular Forms

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T20:21:54.873353Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.