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Paper Citation Record · LEDGER

Quadratic forms of modular forms

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.

pith.paper-citation-record.v1
2507.21951 v3

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T12:29:13.564968Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

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Source: cited_works

Reference resolution

25 of 25 outbound references displayed

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External citation measurements

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Outbound references

Observation 416b601b-8e32-4a2c-b621-0ebc19ee3eff · outbound

This paper cites Polynomial identities between Hecke eigenforms.Int.

Quadratic forms of modular forms Polynomial identities between Hecke eigenforms.Int

Reference 1

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raw_fallback, observed 2026-08-06T12:29:14.422622Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T12:29:13.417228Z digest=sha256:68885bd8cd13773beebb6154b564f1a4c63c8a766bdf9caf092a53809c8279db

Observation 2aa35a01-67f3-4c39-b27c-06f3590d4542 · outbound

This paper cites Divisibility of an eigenform by an eigenform.Proc.

Quadratic forms of modular forms Divisibility of an eigenform by an eigenform.Proc

Reference 2

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raw_fallback, observed 2026-08-06T12:29:14.397333Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T12:29:13.423859Z digest=sha256:b1f22d909b3c3eb6fa8f8bedc06c51c30162faad4923aa8603038373f1e8cdd4

Observation 328145fe-b8b3-4e22-8537-89c5cb577103 · outbound

This paper cites The mixing conjecture under GRH.

Quadratic forms of modular forms The mixing conjecture under GRH

Reference 3

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no resolver link, observed 2026-08-06T12:29:13.429107Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T12:29:13.429107Z digest=sha256:3aa65dd8e13f08869539231377b3e810309dda9c7f5809f8df4b961c4dcf6921

Observation 97f4f535-823c-42e4-ade2-c65c2df54110 · outbound

This paper cites Distribution of mass of holomorphic cusp forms.

Quadratic forms of modular forms Distribution of mass of holomorphic cusp forms

Reference 4

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raw_fallback, observed 2026-08-06T12:29:14.363809Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T12:29:13.434802Z digest=sha256:e61cfe89e1a5905cf25b8c65ef0fbed5b8ba9e1ec5bdfdddaadd1bd55a90a980

Observation c33080c6-808e-47ba-ae73-0446cb98ca1f · outbound

This paper cites Explicit upper bounds forL-functions on the critical line.Proc.

Quadratic forms of modular forms Explicit upper bounds forL-functions on the critical line.Proc

Reference 5

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raw_fallback, observed 2026-08-06T12:29:14.341911Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T12:29:13.440281Z digest=sha256:ab4524e668b65a2a85864b2b98bbc8e25d9dd0b7b3442f87234710bd5dc04f04

Observation a42768ff-dad8-4235-b679-26834314781d · outbound

This paper cites Bounding|ζ( 1 2 +it)|on the Riemann hypothesis.Bull.

Quadratic forms of modular forms Bounding|ζ( 1 2 +it)|on the Riemann hypothesis.Bull

Reference 6

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raw_fallback, observed 2026-08-06T12:29:14.316815Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T12:29:13.446618Z digest=sha256:01b31581e63e813bfde69e4a46c9d25d7ee8912b5474f720548f456d46bd532d

Observation 48f49a65-067b-41d1-b5ae-5bef7f229cb8 · outbound

This paper cites The hyperbolic circle problem over Heegner points.

Quadratic forms of modular forms The hyperbolic circle problem over Heegner points

Reference 7

Resolution
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local_arxiv, observed 2026-08-06T12:29:13.836549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T12:29:13.451633Z digest=sha256:deb6f22403edefbe002bf2e6651ba728b3737918f41200adbfb2718a3078de24

Observation 800a7f62-1c28-4dc6-ae99-495556dfddab · outbound

This paper cites When is the product of two Hecke eigenforms an eigenform?Number theory in progress, Vol.

Quadratic forms of modular forms When is the product of two Hecke eigenforms an eigenform?Number theory in progress, Vol

Reference 8

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T12:29:13.457568Z digest=sha256:500b019ce0bcb29003988d18ac867a7c01accd9aeabbe3a0ecc393ff6107a2c9

Observation 4f6e985e-9dd5-4fbe-837d-b16f05e63de0 · outbound

This paper cites A relation between automorphic representations of GL(2) and GL(3).

Quadratic forms of modular forms A relation between automorphic representations of GL(2) and GL(3)

Reference 9

Resolution
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raw_fallback, observed 2026-08-06T12:29:14.271292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T12:29:13.464368Z digest=sha256:89b382fe0985ee895d7381116a2547931015de844c35320706a945d7f7563028

Observation ce1bf7cc-59d3-47c3-adf1-26b935088a16 · outbound

This paper cites On monomial relations between Eisenstein series.J.

Quadratic forms of modular forms On monomial relations between Eisenstein series.J

Reference 10

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T12:29:13.470320Z digest=sha256:fd1d795fb163cfd104c925b361e92d9c2bbd86f4077fa9ce567fe5945e2408a6

Observation 6f45ac7b-4043-4d4f-97b8-f169becd13cb · outbound

This paper cites Sharp conditional bounds for moments of the Riemann zeta function.

Quadratic forms of modular forms Sharp conditional bounds for moments of the Riemann zeta function

Reference 11

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-06T12:29:13.475840Z digest=sha256:1178e228666ea2115ccbf3ff10044d5d247d7121bc31a5ea8abc19c59cb6c0a5

Observation 16eab1c7-8d5d-4017-9062-ea98463dfb39 · outbound

This paper cites Joint value distribution of Hecke--Maass forms.

Quadratic forms of modular forms Joint value distribution of Hecke--Maass forms

Reference 12

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no resolver link, observed 2026-08-06T12:29:13.482047Z

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source=pdf_text observed=2026-08-06T12:29:13.482047Z digest=sha256:f54c1089cea3ac4bf8dc23462db743c3d16c4dc2a690f86e50ab0da9fc4e7dff

Observation bf7ee28c-469f-4fc2-a6cb-eadc553801c3 · outbound

This paper cites Quantum variance for dihedral Maass forms.Trans.

Quadratic forms of modular forms Quantum variance for dihedral Maass forms.Trans

Reference 13

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T12:29:13.487536Z digest=sha256:d6013bf85c25212c1d732428057b612754f0f6b4fb0af6a5314f7ad01e266de5

Observation 6d97de49-d8b1-40da-8ece-59957064c8b1 · outbound

This paper cites Joint distribution of Hecke eigenforms.

Quadratic forms of modular forms Joint distribution of Hecke eigenforms

Reference 14

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no resolver link, observed 2026-08-06T12:29:13.494225Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-06T12:29:13.494225Z digest=sha256:4c8153ea6d8c25442155eca5f540ea4139b15cbb85d2f9eced350c16769a8034

Observation 04287760-0494-47ad-b1d3-a7fd8ddace0d · outbound

This paper cites Eigenform product identities for Hilbert modular forms.Math.

Quadratic forms of modular forms Eigenform product identities for Hilbert modular forms.Math

Reference 15

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raw_fallback, observed 2026-08-06T12:29:14.178307Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T12:29:13.499551Z digest=sha256:0858a3cee1475a17a5100e77dc9768c37dd93bad88aba0c0ef1fc123ab89bf60

Observation c02f7108-4ad0-4975-949e-3f6cd6099821 · outbound

This paper cites On the nonnegativity of Rankin-SelbergL-functions at the center of symmetry.Int.

Quadratic forms of modular forms On the nonnegativity of Rankin-SelbergL-functions at the center of symmetry.Int

Reference 16

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raw_fallback, observed 2026-08-06T12:29:14.151294Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T12:29:13.507144Z digest=sha256:5aba4aa90259017ccf3fe7937817563fffda621f2547f531c446b54bfd7c3c8e

Observation 57cb72d0-0881-4f43-94cc-be0274d8a201 · outbound

This paper cites A density theorem on automorphicL-functions and some applications.Trans.

Quadratic forms of modular forms A density theorem on automorphicL-functions and some applications.Trans

Reference 17

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raw_fallback, observed 2026-08-06T12:29:14.122555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T12:29:13.513791Z digest=sha256:8280dfe38d859f1b63c6b0dd97d9af79934dbc7ebc099e3b4b46ddd488dd3a25

Observation 4a605e7c-226e-4deb-865b-2eddb7c7a756 · outbound

This paper cites Quantum unique ergodicity for half-integral weight automorphic forms.Duke Math.

Quadratic forms of modular forms Quantum unique ergodicity for half-integral weight automorphic forms.Duke Math

Reference 18

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raw_fallback, observed 2026-08-06T12:29:14.095039Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T12:29:13.519703Z digest=sha256:c19994c63e21af51d69c286a25c6dc6058d4c9f56adcbde765a218b0009e4432

Observation 080cfe3a-2f08-4701-9d0d-28fcc942bdec · outbound

This paper cites Equidistribution,L-functions and ergodic theory: on some prob- lems of Yu.

Quadratic forms of modular forms Equidistribution,L-functions and ergodic theory: on some prob- lems of Yu

Reference 19

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raw_fallback, observed 2026-08-06T12:29:14.070864Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T12:29:13.525223Z digest=sha256:2646e491cd71776fc3852063884b68d224eec6cfd23b123888f52fc076fd11b7

Observation 437683c3-9fa4-4b2b-ac5c-b5b1100d785e · outbound

This paper cites An exercise concerning the selfdual cusp forms on GL(3).Indian J.

Quadratic forms of modular forms An exercise concerning the selfdual cusp forms on GL(3).Indian J

Reference 20

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T12:29:13.530673Z digest=sha256:c3ce1481b4932f28da9fa93f3e828dfc486e20540970ca135d1ce4c3711f48ec

Observation aae4b4a0-71a9-49ea-97b1-94f630f7353a · outbound

This paper cites Lower bounds for moments ofL-functions: symplectic and orthogonal examples.Multiple Dirichlet series, automorphic forms, and analytic number theory,293– 303, Proc.

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

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T12:29:13.536319Z digest=sha256:af6363c4273aaa4491050b53230296c4c911ca12dadc7029e29417872d2bb29d

Observation e7a78cec-d9e0-406c-a7a0-a74075cb03af · outbound

This paper cites Moments of the Riemann zeta function.Ann.

Quadratic forms of modular forms Moments of the Riemann zeta function.Ann

Reference 22

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source=pdf_text observed=2026-08-06T12:29:13.542189Z digest=sha256:44940c92340d4c7cdcadbc63379e71a8e120de74b5120529944e5fa0a9888a55

Observation 370a23ba-bc7c-47bf-8fc5-6b5b0dc7638c · outbound

This paper cites The theory of the Riemann zeta-function.The Clarendon Press, Oxford University Press, New York,1986.

Quadratic forms of modular forms The theory of the Riemann zeta-function.The Clarendon Press, Oxford University Press, New York,1986

Reference 23

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source=pdf_text observed=2026-08-06T12:29:13.549638Z digest=sha256:8dad85fb8e31898aa07cd16cfba85e5dcc4177e73ecc52d67884899c7558953e

Observation 87eb7a65-f341-49f8-a91e-2cd9a4d5cd24 · outbound

This paper cites Rankin Triple Products and Quantum Chaos.

Quadratic forms of modular forms Rankin Triple Products and Quantum Chaos

Reference 24

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local_arxiv, observed 2026-08-06T12:29:13.637362Z

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source=pdf_text observed=2026-08-06T12:29:13.559455Z digest=sha256:c128465ea67d98e5874c5ef36f4465ab8dadf9bd80b580ef77732256f2620887

Observation 59ff0851-ab7e-4614-89d6-a4bf41e17df1 · outbound

This paper cites Sharp bound for the fourth moment of holomorphic Hecke cusp forms.Int.

Quadratic forms of modular forms Sharp bound for the fourth moment of holomorphic Hecke cusp forms.Int

Reference 25

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source=pdf_text observed=2026-08-06T12:29:13.564968Z digest=sha256:ac68194f6364f19c96f03d2814720297b31572eb1e00e1151028b4ae00f26509

Pith citing papers

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