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Paper Citation Record · LEDGER

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation

As of 17 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2504.14551.

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

pith.paper-citation-record.v1
2504.14551 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:57:10.518363Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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 exact1
  • verified fuzzy8
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4d300bdf-a962-4da0-a76b-17d94a918ce7 · outbound

This paper cites an unresolved cited work.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:57:10.772509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:57:10.447218Z digest=sha256:f4e336e1340e6f90f4ab61e35b49d3ac0c755a724d124783cad6bcc2ae981faa

Observation 6130fb2b-65a3-477d-8107-751abf64fca8 · outbound

This paper cites Apostol and A.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation Apostol and A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:57:10.759913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:57:10.454212Z digest=sha256:e21dc636a29c8a3c8c7c9a3238dea75f0ff8bd48c8d145ea49c5dcf783f39fb2

Observation 40df2e30-b07b-4331-8d91-07b29be2ef01 · outbound

This paper cites Banerjee and J.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation Banerjee and J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:57:10.747141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:57:10.458725Z digest=sha256:302bbab28cf0d82cff930e826a27d3fdc0f713f4a53889c4a695de7aedc66e02

Observation b1807cbd-6bf1-4a04-b10d-109d7f528a1b · outbound

This paper cites An analogue of Wilton's formula and values of Dedekind zeta functions.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation An analogue of Wilton's formula and values of Dedekind zeta functions

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-16T11:57:10.573201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:57:10.468381Z digest=sha256:9e89321d7511e92f9b17c4445dcb3ff9d6ec15cdc1be5bebec5615f09d9f703c

Observation 9ce23ee9-3ebe-4ad5-b4c8-7401046924c1 · outbound

This paper cites Banerjee, K.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation Banerjee, K

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:57:10.734772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:57:10.472946Z digest=sha256:02a632bb664bed4004ff470f1f5abd54a70f13b719405b9a7cfa61cf32269bf9

Observation a287e1e0-a42b-4617-88ff-6b317a14ae68 · outbound

This paper cites Bateman and A.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation Bateman and A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:57:10.721933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:57:10.477732Z digest=sha256:a15c11ab1b55f2102acac3a0083ca740028303deb56d5f4731f2651daa891044

Observation 09dc92c0-829a-4dd6-af5e-c492462fa4d8 · outbound

This paper cites an unresolved cited work.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:57:10.708779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:57:10.482357Z digest=sha256:c5563bcc7c71e30aacfb2401fcef5ce1de27acf6aaee23f4546e975ece612cca

Observation 94a85952-ea45-4b1a-a28e-1ea95718ff6e · outbound

This paper cites Chandrasekharan and R.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation Chandrasekharan and R

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:57:10.696474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:57:10.486520Z digest=sha256:0be847c957f9a679ce05a95c8004ddf8e9c3f1d439b03c8bf09f93265dba42b5

Observation 478123ea-20fc-46e1-8265-c216869f7af3 · outbound

This paper cites Davenport.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation Davenport

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:57:10.682787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:57:10.491420Z digest=sha256:c7be094a40eaa5aa8196264002471205be8c5d8dad71b6beb3e55101ea7ef244

Observation 062e6db6-24dd-4e75-9cda-1dab709d129c · outbound

This paper cites an unresolved cited work.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:57:10.670327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:57:10.495552Z digest=sha256:6e25d768cc0e89ffa7491b4824013c2b1fd7d34ba3b7fdfb8358c1ca754b81be

Observation 86bbc277-67b1-445e-8440-946415b3c3c4 · outbound

This paper cites Hardy and J.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation Hardy and J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:57:10.655207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:57:10.499963Z digest=sha256:c8eaacd048dafac3ccf8171e7798b0da29498efbf649b391670566ccec4d38fc

Observation 2cf228d8-a325-4ea5-878d-22755a739c36 · outbound

This paper cites an unresolved cited work.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:57:10.640648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:57:10.505211Z digest=sha256:877996ad6334386115656fc5196065f75d957552e84b2ec3df65aac894fec4b2

Observation 8d63e3d3-a8f6-4646-9e24-98864daa7b9e · outbound

This paper cites an unresolved cited work.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:57:10.625911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:57:10.509576Z digest=sha256:0e13137bc6145a817dc69b1202883ee25f110776ada736c7239d1d96220e7cc3

Observation f5ebcfe2-4eee-4a1c-b407-2ac19c10eb3c · outbound

This paper cites Nakajima.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation Nakajima

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:57:10.610046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:57:10.513894Z digest=sha256:3b0e7a02e4a29e51a7f1b13fbb7ee57d3db8f54b75b2c9a6c63b926061932dbc

Observation 9f8acf1c-fac2-4fdc-8c88-1791ed97dbc9 · outbound

This paper cites an unresolved cited work.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:57:10.589750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T11:57:10.518363Z digest=sha256:8869e5aa73eb935920d2b8632bc170517bedc9eba6048530b945b43ed7c7dec4

Pith citing papers

No inbound Pith citation observations are available.