Paper Citation Record · LEDGER

Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions

As of 3 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2607.00282.

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

pith.paper-citation-record.v1
2607.00282 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-02T01:25:35.781004Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-03T06:30:56.289259+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

19 of 19 outbound references displayed

verified exact3
verified fuzzy11
unresolved1
parse uncertain0
malformed identifier1
metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 45250784-126c-4f43-b9b5-adc88846821f · outbound

This paper cites Zeros ofGL 2 L-functions on the critical line.

Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions Zeros ofGL 2 L-functions on the critical line

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T09:42:16.143499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation e111a5cb-fb39-4cc8-bad8-f15759adf988 · outbound

This paper cites The second moment of the Riemann zeta function with unbounded shifts.Int.

Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions The second moment of the Riemann zeta function with unbounded shifts.Int

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T09:42:16.145552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 3729a2f3-5962-4f05-b028-3f95065f2197 · outbound

This paper cites A nonvanishing result for twists ofL- functions ofGLpnq.Duke Math.

Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions A nonvanishing result for twists ofL- functions ofGLpnq.Duke Math

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T09:42:16.139156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation c8ededc6-73c3-4c52-9fe8-24b69d40af3a · outbound

This paper cites Turnage-Butterbaugh.

Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions Turnage-Butterbaugh

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T09:42:16.140983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 72a10dd7-a738-405d-b6e6-4a2ba36769e5 · outbound

This paper cites Zeros of Rankin-SelbergL-functions at the edge of the critical strip.J.

Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions Zeros of Rankin-SelbergL-functions at the edge of the critical strip.J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T09:42:16.137064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation e742a8a4-2e2b-4a83-9361-7516ccd4fb38 · outbound

This paper cites The sixth moment of Dirichlet L-functions at the central point.

Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions The sixth moment of Dirichlet L-functions at the central point

Reference 6

Resolution: metadata mismatch; arxiv_id, observed 2026-07-02T01:26:23.852188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation b150fa87-8549-41cd-8802-50c75cd0114c · outbound

This paper cites Asymptotic Large Sieve.

Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions Asymptotic Large Sieve

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-07-02T01:26:23.841633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 41de1b35-e56e-44ec-a81a-cb875ccdec88 · outbound

This paper cites Short mollifiers of the Riemann zeta-function.

Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions Short mollifiers of the Riemann zeta-function

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-07-02T01:26:23.847833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation a5f06d7c-5736-454d-aecc-4f826118a3cd · outbound

This paper cites Triality and adjoint lifting for GL(3).

Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions Triality and adjoint lifting for GL(3)

Reference 9

Resolution: metadata mismatch; local_arxiv, observed 2026-07-02T01:26:23.854570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation df6893f7-0d06-4de6-9971-94a4844e4589 · outbound

This paper cites Zeros on the critical line for Dirichlet series attached to certain cusp forms.Math.

Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions Zeros on the critical line for Dirichlet series attached to certain cusp forms.Math

Reference 10

Resolution: malformed identifier; raw_fallback, observed 2026-07-06T09:42:16.131549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 6b42699d-d769-4ab4-9a48-6003a5960cb8 · outbound

This paper cites Iwaniec and P.

Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions Iwaniec and P

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T09:42:16.133286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation a3eede62-a0ab-44fa-afb8-6bd525ebcbd3 · outbound

This paper cites an unresolved cited work.

Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-07-06T09:42:16.129752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation bfe656ae-b95c-472a-a4f2-1f628c7e5079 · outbound

This paper cites On Hypothesis H of Rudnick and Sarnak.

Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions On Hypothesis H of Rudnick and Sarnak

Reference 13

Resolution: metadata mismatch; arxiv_id, observed 2026-07-02T01:26:23.845019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 0f25354d-7e67-411f-ac2c-7fc89d5a18ce · outbound

This paper cites The large sieve.

Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions The large sieve

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T09:42:16.128076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation f01a15c3-cea5-4113-8dbb-20b19cc504d5 · outbound

This paper cites The eighth moment of the Riemann zeta function.J.

Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions The eighth moment of the Riemann zeta function.J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T09:42:16.126090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation f53bb15d-5d64-492e-8ca1-37c6342869e2 · outbound

This paper cites Large sieves for $\mathrm{GL}_n$ and applications.

Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions Large sieves for $\mathrm{GL}_n$ and applications

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-07-02T01:26:23.844404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 9e03ac8e-dcf8-483f-bb62-3e99ffcea269 · outbound

This paper cites Contributions to the theory of Dirichlet’sL-functions.Skr.

Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions Contributions to the theory of Dirichlet’sL-functions.Skr

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T09:42:16.135183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation 7f0608c8-85ed-4dfe-8749-bc45309efa4f · outbound

This paper cites Contributions to the theory of the Riemann zeta-function.Arch.

Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions Contributions to the theory of the Riemann zeta-function.Arch

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T09:42:16.124208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Observation b920ef18-3e94-4a30-8c57-641f398f9279 · outbound

This paper cites The twisted mean square and critical zeros of DirichletL-functions.

Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions The twisted mean square and critical zeros of DirichletL-functions

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T09:42:16.122452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

Pith citing papers

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