Paper Citation Record · LEDGER

Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet $L$-Functions

As of 9 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 2 inbound Pith citation observations for arXiv:2507.08296.

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

pith.paper-citation-record.v1
2507.08296 v2

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:36:23.453967Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-22T00:48:09.558440Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-22T00:50:50.914883Z

Reference resolution

21 of 21 outbound references displayed

verified exact0
verified fuzzy11
unresolved10
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fa4b19df-4156-4d38-a1b1-6c3aa526ed07 · outbound

This paper cites an unresolved cited work.

Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet $L$-Functions Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:36:23.668096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1c1a96ae-735b-4887-8217-708f00525fa1 · outbound

This paper cites Bourgain, On large values estimates for Dirichlet polynomials and the density hypothesis for the Riemann Zeta function, Int.

Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet $L$-Functions Bourgain, On large values estimates for Dirichlet polynomials and the density hypothesis for the Riemann Zeta function, Int

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:36:23.659854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 11886258-c327-479a-920a-812aa6f35c48 · outbound

This paper cites Bourgain, On the distribution of Dirichlet sums.

Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet $L$-Functions Bourgain, On the distribution of Dirichlet sums

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:36:23.651201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6414b2fc-b277-485b-9920-b003f636456f · outbound

This paper cites Bourgain, Remarks on Montgomery’s conjectures on Dirichlet series, Geometric Aspects of Functional Analysis (1989–1990), Springer Lecture Notes in Mathematics 1469 (1991), 153–165.

Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet $L$-Functions Bourgain, Remarks on Montgomery’s conjectures on Dirichlet series, Geometric Aspects of Functional Analysis (1989–1990), Springer Lecture Notes in Mathematics 1469 (1991), 153–165

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:36:23.642910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3a1498d6-7a7a-404e-a552-cf1973880123 · outbound

This paper cites an unresolved cited work.

Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet $L$-Functions Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:36:23.634239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 10aaa92b-9d19-4341-b2f0-bce481107d83 · outbound

This paper cites Davenport, Multiplicative number theory, third ed., Springer-Verlag, New York, 2000.

Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet $L$-Functions Davenport, Multiplicative number theory, third ed., Springer-Verlag, New York, 2000

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:36:23.625362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7a6cf20e-4b9d-49b6-b3a7-e8e9a82de5ff · outbound

This paper cites an unresolved cited work.

Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet $L$-Functions Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:36:23.617120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 26d5a5c5-2844-49ad-b5fa-61b7e38e5598 · outbound

This paper cites Forti, C.

Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet $L$-Functions Forti, C

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:36:23.608915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 89005f20-1464-43b4-9d4f-0e5326e9976b · outbound

This paper cites New large value estimates for Dirichlet polynomials.

Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet $L$-Functions New large value estimates for Dirichlet polynomials

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T18:36:23.422152Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8ad18568-ee86-4ff8-a152-ea82ec52f6df · outbound

This paper cites an unresolved cited work.

Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet $L$-Functions Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:36:23.600419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ff502d84-216c-4b5a-ae2d-07198ee6aa1d · outbound

This paper cites Huxley, On the difference between consecutive primes, Invent.

Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet $L$-Functions Huxley, On the difference between consecutive primes, Invent

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:36:23.590471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a27a1526-d713-4dc3-a1d7-19dcd4b8811d · outbound

This paper cites Huxley, Large values of Dirichlet polynomials.

Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet $L$-Functions Huxley, Large values of Dirichlet polynomials

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:36:23.581104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 230fed34-517c-4fda-8229-9335e2b3163d · outbound

This paper cites an unresolved cited work.

Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet $L$-Functions Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:36:23.572356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9814e147-d0cb-4b1d-a947-bb90b9a44b0f · outbound

This paper cites Ivi´ c, The Riemann zeta-function.

Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet $L$-Functions Ivi´ c, The Riemann zeta-function

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:36:23.561109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3a99d631-c2df-44c1-9311-da321d7ccb0f · outbound

This paper cites Jutila, On the least Goldbach’s number in an arithmetical progression with a prime difference, Ann.

Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet $L$-Functions Jutila, On the least Goldbach’s number in an arithmetical progression with a prime difference, Ann

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:36:23.550461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ed022e66-b14a-45bf-90ca-fdcb65685dc9 · outbound

This paper cites Jutila, On a density theorem of H.

Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet $L$-Functions Jutila, On a density theorem of H

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:36:23.539478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3623aac2-fc0b-4f42-9665-004683da01ff · outbound

This paper cites Jutila, Zero-density estimates for L-functions, Acta Arith.

Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet $L$-Functions Jutila, Zero-density estimates for L-functions, Acta Arith

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:36:23.528329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bf1dedcf-ef75-430d-9edd-74a9c5c7ecbf · outbound

This paper cites an unresolved cited work.

Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet $L$-Functions Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:36:23.517232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3618dd06-555d-4ad3-8e32-242398cbd7cd · outbound

This paper cites an unresolved cited work.

Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet $L$-Functions Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:36:23.506773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1d792e61-83f2-4d26-a8df-de0540390682 · outbound

This paper cites an unresolved cited work.

Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet $L$-Functions Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:36:23.497131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b6f65d54-8b31-49c4-a081-825444bb7662 · outbound

This paper cites Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions.

Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet $L$-Functions Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T18:36:23.453967Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 9b668b3e-19e3-4650-968e-ab7d5948cb7c · inbound

Refinements for primes in short arithmetic progressions cites this paper.

Refinements for primes in short arithmetic progressions Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet $L$-Functions

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-07-28T02:23:15.538492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0c9a41aa-c070-4750-a7f5-710ce77e9e7b · inbound

On the Goldbach problem with restricted primes cites this paper.

On the Goldbach problem with restricted primes Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet $L$-Functions

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-07-28T02:23:15.538492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.