Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T12:29:13.564968Z
Paper Citation Record · LEDGER
As of 20 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2507.21951.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T12:29:13.564968Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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
25 of 25 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 416b601b-8e32-4a2c-b621-0ebc19ee3eff · outbound
Quadratic forms of modular forms Polynomial identities between Hecke eigenforms.Int
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2aa35a01-67f3-4c39-b27c-06f3590d4542 · outbound
Quadratic forms of modular forms Divisibility of an eigenform by an eigenform.Proc
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 328145fe-b8b3-4e22-8537-89c5cb577103 · outbound
Quadratic forms of modular forms The mixing conjecture under GRH
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 97f4f535-823c-42e4-ade2-c65c2df54110 · outbound
Quadratic forms of modular forms Distribution of mass of holomorphic cusp forms
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c33080c6-808e-47ba-ae73-0446cb98ca1f · outbound
Quadratic forms of modular forms Explicit upper bounds forL-functions on the critical line.Proc
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a42768ff-dad8-4235-b679-26834314781d · outbound
Quadratic forms of modular forms Bounding|ζ( 1 2 +it)|on the Riemann hypothesis.Bull
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 48f49a65-067b-41d1-b5ae-5bef7f229cb8 · outbound
Quadratic forms of modular forms The hyperbolic circle problem over Heegner points
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 800a7f62-1c28-4dc6-ae99-495556dfddab · outbound
Quadratic forms of modular forms When is the product of two Hecke eigenforms an eigenform?Number theory in progress, Vol
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4f6e985e-9dd5-4fbe-837d-b16f05e63de0 · outbound
Quadratic forms of modular forms A relation between automorphic representations of GL(2) and GL(3)
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ce1bf7cc-59d3-47c3-adf1-26b935088a16 · outbound
Quadratic forms of modular forms On monomial relations between Eisenstein series.J
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 6f45ac7b-4043-4d4f-97b8-f169becd13cb · outbound
Quadratic forms of modular forms Sharp conditional bounds for moments of the Riemann zeta function
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 16eab1c7-8d5d-4017-9062-ea98463dfb39 · outbound
Quadratic forms of modular forms Joint value distribution of Hecke--Maass forms
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bf7ee28c-469f-4fc2-a6cb-eadc553801c3 · outbound
Quadratic forms of modular forms Quantum variance for dihedral Maass forms.Trans
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 6d97de49-d8b1-40da-8ece-59957064c8b1 · outbound
Quadratic forms of modular forms Joint distribution of Hecke eigenforms
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 04287760-0494-47ad-b1d3-a7fd8ddace0d · outbound
Quadratic forms of modular forms Eigenform product identities for Hilbert modular forms.Math
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c02f7108-4ad0-4975-949e-3f6cd6099821 · outbound
Quadratic forms of modular forms On the nonnegativity of Rankin-SelbergL-functions at the center of symmetry.Int
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 57cb72d0-0881-4f43-94cc-be0274d8a201 · outbound
Quadratic forms of modular forms A density theorem on automorphicL-functions and some applications.Trans
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4a605e7c-226e-4deb-865b-2eddb7c7a756 · outbound
Quadratic forms of modular forms Quantum unique ergodicity for half-integral weight automorphic forms.Duke Math
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 080cfe3a-2f08-4701-9d0d-28fcc942bdec · outbound
Quadratic forms of modular forms Equidistribution,L-functions and ergodic theory: on some prob- lems of Yu
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 437683c3-9fa4-4b2b-ac5c-b5b1100d785e · outbound
Quadratic forms of modular forms An exercise concerning the selfdual cusp forms on GL(3).Indian J
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation aae4b4a0-71a9-49ea-97b1-94f630f7353a · outbound
Quadratic forms of modular forms Lower bounds for moments ofL-functions: symplectic and orthogonal examples.Multiple Dirichlet series, automorphic forms, and analytic number theory,293– 303, Proc
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e7a78cec-d9e0-406c-a7a0-a74075cb03af · outbound
Quadratic forms of modular forms Moments of the Riemann zeta function.Ann
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 370a23ba-bc7c-47bf-8fc5-6b5b0dc7638c · outbound
Quadratic forms of modular forms The theory of the Riemann zeta-function.The Clarendon Press, Oxford University Press, New York,1986
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 87eb7a65-f341-49f8-a91e-2cd9a4d5cd24 · outbound
Quadratic forms of modular forms Rankin Triple Products and Quantum Chaos
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 59ff0851-ab7e-4614-89d6-a4bf41e17df1 · outbound
Quadratic forms of modular forms Sharp bound for the fourth moment of holomorphic Hecke cusp forms.Int
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
No inbound Pith citation observations are available.