Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T21:27:38.511449Z
Paper Citation Record · LEDGER
Averaging quadratically twisted $L$-values and their derivatives
As of 12 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 2 inbound Pith citation observations for arXiv:2507.00179.
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 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-01T14:42:51.737210Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-12T07:26:29.480692Z
Reference resolution
15 of 15 outbound references displayed
- verified exact0
- verified fuzzy10
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 837f7d86-dc52-48c6-8cd0-0b8aa1988460 · outbound
This paper cites Eisenstein series on the metaplectic group and nonvanishing theorems for automorphic L-functions and their derivatives.
Averaging quadratically twisted $L$-values and their derivatives Eisenstein series on the metaplectic group and nonvanishing theorems for automorphic L-functions and their derivatives
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:27:40.299528Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 56b0aa42-126e-4715-a4af-3a5dc78434fc · outbound
This paper cites Gross and Don B.
Averaging quadratically twisted $L$-values and their derivatives Gross and Don B
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:27:40.079158Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1b84c58b-4407-4758-8ed7-b884c5f2fadf · outbound
This paper cites On the order of vanishing of modular L-functions at the critical point.
Averaging quadratically twisted $L$-values and their derivatives On the order of vanishing of modular L-functions at the critical point
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:27:39.909231Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 22cb410b-7750-4231-81e2-d6dce37b0b0a · outbound
This paper cites Analytic number theory , volume 53 of American Mathematical Society Colloquium Publications.
Averaging quadratically twisted $L$-values and their derivatives Analytic number theory , volume 53 of American Mathematical Society Colloquium Publications
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T21:27:37.639787Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f35d966a-cd12-4288-b156-bde0fa55ef00 · outbound
This paper cites an unresolved cited work.
Averaging quadratically twisted $L$-values and their derivatives Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:27:39.814308Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1e04fe5a-3765-4441-a8ce-3ff645557205 · outbound
This paper cites an unresolved cited work.
Averaging quadratically twisted $L$-values and their derivatives Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:27:39.703490Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e9ef0b07-10cd-4bf5-beb8-500a965ac850 · outbound
This paper cites Moments of quadratic twists of modular L-functions.
Averaging quadratically twisted $L$-values and their derivatives Moments of quadratic twists of modular L-functions
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:27:39.580136Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d9c4b80a-6926-45fb-bcf0-e1744166b6fb · outbound
This paper cites Determination of modular forms by twists of critical L-values.
Averaging quadratically twisted $L$-values and their derivatives Determination of modular forms by twists of critical L-values
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:27:39.454732Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3644e9ca-48ba-4cc1-aa71-42685aeab3e9 · outbound
This paper cites Ram Murty and V.
Averaging quadratically twisted $L$-values and their derivatives Ram Murty and V
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:27:39.323582Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7310fd97-8b30-409e-a032-5dd1365efd1d · outbound
This paper cites Moments of L′( 1 2 ) in the family of quadratic twists.
Averaging quadratically twisted $L$-values and their derivatives Moments of L′( 1 2 ) in the family of quadratic twists
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:27:39.196029Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9debe09a-39cc-4b1e-8c05-1af244baba5f · outbound
This paper cites Silverman.
Averaging quadratically twisted $L$-values and their derivatives Silverman
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T21:27:38.167749Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 76fa2b09-802b-47a7-b3a9-542ad4fb79b3 · outbound
This paper cites Soundararajan.
Averaging quadratically twisted $L$-values and their derivatives Soundararajan
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:27:39.046696Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f880a35d-de7a-4a6e-a57e-194bf591a4ac · outbound
This paper cites Soundararajan and Matthew P.
Averaging quadratically twisted $L$-values and their derivatives Soundararajan and Matthew P
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:27:38.943438Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e03552d4-1733-4392-bc17-45cd07b2a866 · outbound
This paper cites an unresolved cited work.
Averaging quadratically twisted $L$-values and their derivatives Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T21:27:38.809637Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 62430d31-dbb2-405b-8ec6-ff2f63b3c58d · outbound
This paper cites Moment of derivatives of quadratic twists of modular L-functions, 2025.
Averaging quadratically twisted $L$-values and their derivatives Moment of derivatives of quadratic twists of modular L-functions, 2025
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T21:27:38.683252Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Pith citing papers
Observation 095e5422-29b7-4512-8fe0-0e0766c7878a · inbound
On the coefficients of the Taylor expansion of $L$-functions of elliptic curves cites this paper.
On the coefficients of the Taylor expansion of $L$-functions of elliptic curves Averaging quadratically twisted $L$-values and their derivatives
Reference 8
- Resolution
- verified exact
- arxiv_id, observed 2026-05-12T07:26:29.492055Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7a18f25f-764d-470f-8083-e0fa634a8f7a · inbound
Binary quadratic forms and elliptic curves with analytic rank one cites this paper.
Binary quadratic forms and elliptic curves with analytic rank one Averaging quadratically twisted $L$-values and their derivatives
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T14:42:51.737210Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.