Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T13:03:06.531197Z
Paper Citation Record · LEDGER
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application
As of 8 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2505.23573.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
32 of 32 outbound references displayed
- verified exact3
- verified fuzzy19
- unresolved10
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 695fb21a-b947-4914-8190-396b9b7c7cee · outbound
This paper cites an unresolved cited work.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:03:12.313813Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5f6ea494-e0f6-4be7-a59c-c5b863bf4a8b · outbound
This paper cites Billingsley,Probability and measure.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application Billingsley,Probability and measure
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:03:12.168028Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 793fd332-f7ce-4212-8d16-b13aaed0d07d · outbound
This paper cites Blomer, E.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application Blomer, E
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:03:12.051744Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 32450b6a-0248-42f2-a6a7-fb435ed1b682 · outbound
This paper cites Cram´ er,¨Uber die Nulistellen der Zetafunktion.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application Cram´ er,¨Uber die Nulistellen der Zetafunktion
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:03:11.935547Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3df13114-5139-490a-8778-1bfee17ac66a · outbound
This paper cites Davenport,Multiplicative number theory, third edition, Graduate Texts in Mathematics, 74, Springer, New York, 2000.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application Davenport,Multiplicative number theory, third edition, Graduate Texts in Mathematics, 74, Springer, New York, 2000
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:03:11.775021Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7aa77901-ee5a-4cf2-a7ba-6ba16e64d263 · outbound
This paper cites Deligne,La conjecture de Weil.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application Deligne,La conjecture de Weil
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:03:11.631545Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3ec8ba2f-2114-4b8c-b234-cb34554249db · outbound
This paper cites New large value estimates for Dirichlet polynomials.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application New large value estimates for Dirichlet polynomials
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T13:03:04.225404Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7989f8dc-af0c-46cf-8250-34f70dad47ce · outbound
This paper cites an unresolved cited work.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:03:11.413460Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8c2824c6-55a5-4ec9-ad65-42f7a4846890 · outbound
This paper cites an unresolved cited work.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:03:11.176540Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d44db780-7c59-44cb-bd87-67e6b0f10f9b · outbound
This paper cites Hough,Zero-density estimate for modular formL-functions in weight aspect.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application Hough,Zero-density estimate for modular formL-functions in weight aspect
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:03:10.998556Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e2e74969-023f-41ba-8fc4-6d83a3b2ab2a · outbound
This paper cites an unresolved cited work.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:03:10.832335Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d51d4d91-04ab-4821-b932-1478e89a3e99 · outbound
This paper cites an unresolved cited work.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:03:10.686844Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5ad1d54d-1612-437c-b296-ad7d990090f9 · outbound
This paper cites Iwaniec and E.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application Iwaniec and E
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:03:10.490729Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 21343dd8-437d-4f2a-81f7-c48eb572d71d · outbound
This paper cites Ivi´ c,The Riemann zeta-function.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application Ivi´ c,The Riemann zeta-function
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:03:10.295522Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 368fbeab-dfad-40e1-ba2b-8336eedc04b4 · outbound
This paper cites Jutila,Zero-density estimates for L-functions.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application Jutila,Zero-density estimates for L-functions
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:03:10.102536Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 04c7ea8e-2ea6-46d2-97a5-2b0fc2d36680 · outbound
This paper cites Kowalski,The rank of the Jacobian of modular curves: Analytic methods, ProQuest LLC, Ann Arbor, MI, 1998.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application Kowalski,The rank of the Jacobian of modular curves: Analytic methods, ProQuest LLC, Ann Arbor, MI, 1998
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:03:09.906319Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d27bfd09-facf-472e-81b1-e42182803ba2 · outbound
This paper cites Kowalski and P.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application Kowalski and P
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:03:09.693714Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8c3facee-20f0-461f-bdde-b4621cc18496 · outbound
This paper cites an unresolved cited work.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:03:09.493996Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 79b0d47e-3c2b-4c97-8b8b-2f5d0677a43f · outbound
This paper cites Liu and S.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application Liu and S
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:03:09.297720Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3083a752-4817-453e-9d47-43656c8cf16b · outbound
This paper cites Liu and J.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application Liu and J
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:03:09.090090Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b2920bb6-6172-4546-a16d-366381fa5524 · outbound
This paper cites Liu and J.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application Liu and J
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:03:08.882854Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 91b75be4-a356-4a8f-abd2-581ed45cb76e · outbound
This paper cites an unresolved cited work.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:03:08.665710Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 57a75499-f5d0-4862-855f-9de92a4b805c · outbound
This paper cites Luo,Zeros of Hecke L-functions associated with cusp forms.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application Luo,Zeros of Hecke L-functions associated with cusp forms
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:03:08.442078Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6ed47b64-35be-4e5c-b127-470650076fdf · outbound
This paper cites an unresolved cited work.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:03:08.224745Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4d10a514-3fb9-49cf-bbb3-702b3caf2dc4 · outbound
This paper cites Selberg,On the remainder in the formula forNpTq, the number of zeros ofζpsqin the strip0ătăT.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application Selberg,On the remainder in the formula forNpTq, the number of zeros ofζpsqin the strip0ătăT
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:03:08.046958Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f52c60fd-83af-4531-94c2-fc991d1b078a · outbound
This paper cites Selberg,Contributions to the theory of the Riemann zeta-function.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application Selberg,Contributions to the theory of the Riemann zeta-function
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:03:07.832023Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation dffd3f41-2fd4-46ac-948d-01ca429a115a · outbound
This paper cites Selberg,Contributions to the theory of Dirichlet’sL-functions.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application Selberg,Contributions to the theory of Dirichlet’sL-functions
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:03:07.644382Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1216b51f-d227-473e-af69-cce2400470a6 · outbound
This paper cites On a level analog of Selberg's result on $S(t)$.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application On a level analog of Selberg's result on $S(t)$
Reference 28
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T13:03:07.073855Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c5149627-0861-47f6-a713-78e14ccd53f9 · outbound
This paper cites Sun and H.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application Sun and H
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:03:07.405757Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ec38dc28-6602-4d95-9f2c-c7dd41d7fb6f · outbound
This paper cites A zero-density estimate for $L$-functions associated with $\rm GL(3)$ Hecke--Maass cusp forms.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application A zero-density estimate for $L$-functions associated with $\rm GL(3)$ Hecke--Maass cusp forms
Reference 30
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T13:03:06.904417Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9f139d66-d55c-46db-acc0-b1b346191dba · outbound
This paper cites Sun and H.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application Sun and H
Reference 31
- Resolution
- verified exact
- raw_fallback, observed 2026-08-07T13:03:06.794905Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 07286bbc-3f7f-4b95-878f-3c48410df780 · outbound
This paper cites an unresolved cited work.
A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:03:07.201063Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Pith citing papers
No inbound Pith citation observations are available.