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Paper Citation Record · LEDGER

Large values of Dirichlet polynomials with multiplicative coefficients

As of 9 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2509.09771.

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

pith.paper-citation-record.v1
2509.09771 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T18:59:14.917988Z

measured 14 of 14 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 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

14 of 14 outbound references displayed

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  • verified fuzzy0
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 84601b09-0098-4d18-a03a-f0e26068ecbf · outbound

This paper cites Ann.,365(2016), 473–496.

Large values of Dirichlet polynomials with multiplicative coefficients Ann.,365(2016), 473–496

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:13.498969Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:13.498969Z digest=sha256:62948d7b8a4e5d06c5170d0102fbabb5373c962f2992b4b9f6bf8dbd03082417

Observation c3eb210d-4cee-434d-b96a-dc6323763e3d · outbound

This paper cites and Nishry, A.Extremal bounds for Dirichlet polynomials with random multiplicative coefficients,Stud.

Large values of Dirichlet polynomials with multiplicative coefficients and Nishry, A.Extremal bounds for Dirichlet polynomials with random multiplicative coefficients,Stud

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:13.676175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:13.676175Z digest=sha256:3968158ab4e784497f58b66b4606b2a426f1929cca69e744d9bec8809ab1959f

Observation 7c0ce87f-eb4c-42a1-938f-e8773c9756b6 · outbound

This paper cites an unresolved cited work.

Large values of Dirichlet polynomials with multiplicative coefficients Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:13.843404Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:13.843404Z digest=sha256:9f1a2007a78c1ab428a4af8264fc16f79de92e03e3c8db268d6b7994659903cd

Observation bd033b9d-b313-46f2-be46-a7270ecfef31 · outbound

This paper cites J.,166(2017), 1685–1701.

Large values of Dirichlet polynomials with multiplicative coefficients J.,166(2017), 1685–1701

Reference 4

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unresolved
no resolver link, observed 2026-08-04T18:59:13.942317Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:13.942317Z digest=sha256:9d4a67f0faeca1f07d7bb53f85e126240fb279650f1e909f177ee484bf64dcf6

Observation c40e0df6-d02e-4d75-bdd1-7c6ea2e8fb63 · outbound

This paper cites an unresolved cited work.

Large values of Dirichlet polynomials with multiplicative coefficients Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:14.040074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:14.040074Z digest=sha256:6961d0ba89ee9d0ef922859e36d59dbd2fdb12179b72043f95b5bd11c99e283a

Observation 9edc9dd1-819a-4b00-acba-9419c8c0440b · outbound

This paper cites an unresolved cited work.

Large values of Dirichlet polynomials with multiplicative coefficients Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:14.135680Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:14.135680Z digest=sha256:37cb921c86fd93589fdcf42cea2204c6b508f49f3f8783ed8e4350ae90a242ba

Observation de4558dd-6b38-4ee3-b9f3-2d2b332fd214 · outbound

This paper cites an unresolved cited work.

Large values of Dirichlet polynomials with multiplicative coefficients Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:14.230240Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:14.230240Z digest=sha256:2b42f5669e73399f1cac5981cc3e3e36940e47d610f2c96b03e9eb18e5f18c00

Observation 973ea06a-b060-4db0-af19-9100fa8c81cf · outbound

This paper cites The typical size of character and zeta sums is $o(\sqrt{x})$.

Large values of Dirichlet polynomials with multiplicative coefficients The typical size of character and zeta sums is $o(\sqrt{x})$

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:14.336105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:14.336105Z digest=sha256:083a16c603b90db305d53d49b9ad57ecd13436b15003d449927a1dcd4ee56a17

Observation b8171763-e086-48aa-85eb-7e5bb7cdc721 · outbound

This paper cites an unresolved cited work.

Large values of Dirichlet polynomials with multiplicative coefficients Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:14.467451Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:14.467451Z digest=sha256:c10503e67b029ba623066937b229dfc8f0dac295f892c8260e20300f771a2ebf

Observation 63926aee-4367-4433-bb70-60cebcc4e632 · outbound

This paper cites an unresolved cited work.

Large values of Dirichlet polynomials with multiplicative coefficients Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:14.560563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:14.560563Z digest=sha256:c515022775e96101027700a30297bff10e7064265730d53348676bd3c127240c

Observation fc418081-8e26-423d-9b3d-a90591257423 · outbound

This paper cites an unresolved cited work.

Large values of Dirichlet polynomials with multiplicative coefficients Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:14.633679Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:14.633679Z digest=sha256:15243f9a26c90437a2a510722999a4ce79c67a36c0692e6617dfe45be82143b5

Observation ba3f49fc-8c63-45c9-9144-572d576c957b · outbound

This paper cites Ann.,342(2008), 67–86.

Large values of Dirichlet polynomials with multiplicative coefficients Ann.,342(2008), 67–86

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:14.751120Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:14.751120Z digest=sha256:3bfa8be0ad41b93dc32283520880f7fca49e503071dd4a063b373d67c2315cac

Observation 8baec160-8703-4acd-b445-1a9d9dd66df6 · outbound

This paper cites M.Lower bounds in Riemann zeta-function theory,Izv.

Large values of Dirichlet polynomials with multiplicative coefficients M.Lower bounds in Riemann zeta-function theory,Izv

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:14.847857Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:14.847857Z digest=sha256:a374bb67c1f0aa84b07517430167e9bd314637194eda2274ee7c0d959ebc1f92

Observation 52de210b-5546-4075-b6fd-3dc1bfbf4738 · outbound

This paper cites W., Yang, D.Extreme values of Dirichlet polynomials with multiplicative coefficients,J.

Large values of Dirichlet polynomials with multiplicative coefficients W., Yang, D.Extreme values of Dirichlet polynomials with multiplicative coefficients,J

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:14.917988Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:14.917988Z digest=sha256:3538f675f8711246c31904f1655fba7e891bc65f2b6634f6100050d88706593d

Pith citing papers

No inbound Pith citation observations are available.