Paper Citation Record · LEDGER

The mean square of real character sums

As of 20 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 1 inbound Pith citation observation for arXiv:1908.07922.

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

pith.paper-citation-record.v1
1908.07922 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:38:09.231467Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:24:38.165539Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T22:24:40.593882Z

Reference resolution

10 of 10 outbound references displayed

verified exact0
verified fuzzy4
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 153292ac-cb50-486e-99e5-46a1b8228cfd · outbound

This paper cites an unresolved cited work.

The mean square of real character sums Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-14T12:38:09.189715Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22bab435-c3c2-48f0-a2ca-4d802c5283de · outbound

This paper cites an unresolved cited work.

The mean square of real character sums Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:38:09.363157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b01efd01-b533-4573-b5ce-a3c056f8e722 · outbound

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

The mean square of real character sums Davenport, Multiplicative Number Theory , Third edition, Graduate Texts in Mathematics, vol

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-14T12:38:09.199904Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f2989d89-723d-44c0-bd70-a67e7377e433 · outbound

This paper cites Gao, Mean values of divisors twisted by quadratic characters , Acta Arith., accepted.

The mean square of real character sums Gao, Mean values of divisors twisted by quadratic characters , Acta Arith., accepted

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:38:09.340341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation fbf0f188-f48b-432b-917c-e7aa1d4de8e7 · outbound

This paper cites Hooley, On the number of divisors of a quadratic polynomial , Acta Math.

The mean square of real character sums Hooley, On the number of divisors of a quadratic polynomial , Acta Math

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:38:09.326068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f48b4b85-7f8c-4455-b296-46c64507668d · outbound

This paper cites Jutila, On character sums and class numbers , J.

The mean square of real character sums Jutila, On character sums and class numbers , J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:38:09.311621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5999d5bd-289a-408e-aec6-1c7185c9df3c · outbound

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

The mean square of real character sums Soundararajan, Nonvanishing of quadratic Dirichlet L-functions at s = 1 2 , Ann

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-14T12:38:09.217998Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 089aa945-1001-4251-8efd-f90367a26519 · outbound

This paper cites Soundararajan and M.

The mean square of real character sums Soundararajan and M

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-14T12:38:09.222812Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a0714977-1980-4b90-b883-a2e413456f96 · outbound

This paper cites an unresolved cited work.

The mean square of real character sums Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:38:09.279150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 78b5c44c-2359-4b46-b699-cad45e5dbfcb · outbound

This paper cites (N.S.) 19 (2013), no.

The mean square of real character sums (N.S.) 19 (2013), no

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:38:09.265060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

Observation c81bfd13-2ef2-4b88-bd3b-c8e29228274b · 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 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 2026-08-20T06:33:59.587034+00:00.