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Paper Citation Record · LEDGER

Mean squares of quadratic twists of the Fourier coefficients of modular forms

As of 19 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2506.22256.

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

pith.paper-citation-record.v1
2506.22256 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:24:39.275092Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

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

15 of 15 outbound references displayed

  • verified exact4
  • verified fuzzy5
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5c3ee970-245f-48d7-ab65-ffa44c4b9508 · outbound

This paper cites an unresolved cited work.

Mean squares of quadratic twists of the Fourier coefficients of modular forms Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:24:42.326623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:24:38.039775Z digest=sha256:59ca4c82546aedcabaf33e12907d88d0ab080f94e7672e978c5e0ed39aa2007c

Observation 8a8c3e7d-3d81-4388-b1de-0f5ae5075952 · outbound

This paper cites Deligne, La conjecture de Weil.

Mean squares of quadratic twists of the Fourier coefficients of modular forms Deligne, La conjecture de Weil

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:24:42.047687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:24:38.096486Z digest=sha256:5c42aad60547db34ecccacbd3f87367228e71fe338e7c4562762d7e108ac982b

Observation c81bfd13-2ef2-4b88-bd3b-c8e29228274b · outbound

This paper cites The mean square of real character sums.

Mean squares of quadratic twists of the Fourier coefficients of modular forms The mean square of real character sums

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:24:40.680268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:24:38.165539Z digest=sha256:79ee4f51c8e84ee4ffbc516474b303a8ed4b4cf5669ae74f1317f89f36bdf922

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

This paper cites Bounds for Moments of Twisted Fourier coefficients of Modular Forms.

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:24:38.234211Z digest=sha256:d0889be552a4fd173e2ab9dc8f3b09e15f18c1211e4c9ac1a10b852221ef3ada

Observation cd43e3df-da5d-4763-804d-f99561852f45 · outbound

This paper cites an unresolved cited work.

Mean squares of quadratic twists of the Fourier coefficients of modular forms Unresolved cited work

Reference 5

Resolution
verified exact
raw_fallback, observed 2026-08-06T22:24:40.134967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:24:38.315915Z digest=sha256:1c0d90d4632a5c1ac688c226e719a3d1c1401877b87e64947f648c4089179fb3

Observation dcc1daa2-2049-4a94-9f0f-158eeb98da23 · outbound

This paper cites an unresolved cited work.

Mean squares of quadratic twists of the Fourier coefficients of modular forms Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:24:41.817680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:24:38.388114Z digest=sha256:b2f08bdab5601dabb5191c40360f2b87aa03ca87041d3ba48f6877d2acec097b

Observation f2a74a9a-7c15-4260-a4cc-a33e3ace8d21 · outbound

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

Mean squares of quadratic twists of the Fourier coefficients of modular forms Sharp conditional bounds for moments of the Riemann zeta function

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-06T22:24:38.485416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:24:38.485416Z digest=sha256:879a303c07ccf9356a314119837dc2bda32bd70cd40d0fbf8d0e95e5ed87089e

Observation d8176ada-7b3d-4a05-9818-5608faf9df35 · outbound

This paper cites Iwaniec and E.

Mean squares of quadratic twists of the Fourier coefficients of modular forms Iwaniec and E

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-06T22:24:38.558896Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:24:38.558896Z digest=sha256:031ad45a2569696599e80bd916a7ab7047c8c33257368e537ea9d65ae8559d89

Observation 371b231d-35b1-4624-b0ae-fcb2f894f8f6 · outbound

This paper cites an unresolved cited work.

Mean squares of quadratic twists of the Fourier coefficients of modular forms Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-06T22:24:38.635322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:24:38.635322Z digest=sha256:18fa717fd814f1a231da5acfb102a22740f702cdab07e4d9e1c19da2a8f813e6

Observation 9fdb42d5-4d16-4442-9ecd-2680e4abbe47 · outbound

This paper cites Munsch, Upper and lower bounds on moments of quadratic character sums and theta functions (Preprint).

Mean squares of quadratic twists of the Fourier coefficients of modular forms Munsch, Upper and lower bounds on moments of quadratic character sums and theta functions (Preprint)

Reference 10

Resolution
verified exact
raw_fallback, observed 2026-08-06T22:24:39.661553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:24:38.707078Z digest=sha256:4806cd1ebedd33eec75f5807e3d2f9a9175713b22760219c912dc97749a2eed3

Observation 5bfb7d0f-ff74-43d5-a07b-0734677de4f8 · outbound

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

Mean squares of quadratic twists of the Fourier coefficients of modular forms Shimura, On the holomorphy of certain Dirichlet series , Proc

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:24:41.622941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:24:38.811333Z digest=sha256:45a33ef2cea0d87ce7d6443abb017b0ffbabf236c32cebd93a74ba3cb56f0ccb

Observation 5b1ca221-99cc-4f75-9bfd-1caf3c3aa5f3 · outbound

This paper cites Soundararajan, Nonvanishing of quadratic Dirichlet L-functions at s = 1 2 , Ann.

Mean squares of quadratic twists of the Fourier coefficients of modular forms Soundararajan, Nonvanishing of quadratic Dirichlet L-functions at s = 1 2 , Ann

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:24:41.429549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:24:38.918632Z digest=sha256:3bb944da5b6c17173a522c16cf92510c4e2daffeb0a219c4dc28ea1c4dc95c47

Observation 802f27de-0bde-4822-b6ed-567259b35fa1 · outbound

This paper cites an unresolved cited work.

Mean squares of quadratic twists of the Fourier coefficients of modular forms Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:24:41.225996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:24:38.976267Z digest=sha256:18522aeb454b91104a9596f6faf70522b42b7527afd899a091ad21a046115216

Observation 0fbe6fae-5e44-4904-9083-b418b716e98c · outbound

This paper cites Soundararajan and M.

Mean squares of quadratic twists of the Fourier coefficients of modular forms Soundararajan and M

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:24:41.056858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:24:39.102930Z digest=sha256:b4f6d459e382f1fa695f9029cd1416a8bd9b9a4088489d22c6faed4478de655b

Observation 70e4237a-f1df-4a55-bc19-1e5a489e0f6d · outbound

This paper cites Szab´ o,High moments of theta functions and character sums , Mathematika 70 (2024), no.

Mean squares of quadratic twists of the Fourier coefficients of modular forms Szab´ o,High moments of theta functions and character sums , Mathematika 70 (2024), no

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:24:40.878334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T22:24:39.275092Z digest=sha256:d682d76b15a52941929b5bb169dd5d156ceb1762967eadf9574b279738e458ff

Pith citing papers

No inbound Pith citation observations are available.