Paper Citation Record · LEDGER

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$

As of 19 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 1 inbound Pith citation observation for arXiv:2505.13256.

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

pith.paper-citation-record.v1
2505.13256 v2

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:27:41.803978Z

measured 42 of 42 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:57:35.958790Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-15T16:57:36.003791Z

Reference resolution

41 of 41 outbound references displayed

verified exact1
verified fuzzy21
unresolved19
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b2422505-0ef1-452f-8cfe-20150af22056 · outbound

This paper cites A proof of K irillov's conjecture.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ A proof of K irillov's conjecture

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:27:42.803013Z

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.

Observation 2441c1e6-4355-41a7-87ed-150c0fb57a3f · outbound

This paper cites On the R amanujan conjecture over number fields.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ On the R amanujan conjecture over number fields

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T20:27:41.514484Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 325e6e3b-cd58-4439-ad23-58e4b0af0b14 · outbound

This paper cites Bernstein.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Bernstein

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T20:27:41.521120Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 34908b84-534c-4f82-8a38-76314da98071 · outbound

This paper cites Twisted L -functions over number fields and H ilbert's eleventh problem.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Twisted L -functions over number fields and H ilbert's eleventh problem

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:27:42.736399Z

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.

Observation 17bbf0b1-57f4-443b-8394-2d462db29337 · outbound

This paper cites Subconvexity implies effective quantum unique ergodicity for H ecke- M aa \ cusp forms on SL_2( Z) SL_2( R).

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Subconvexity implies effective quantum unique ergodicity for H ecke- M aa \ cusp forms on SL_2( Z) SL_2( R)

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:27:42.707441Z

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.

Observation eb794bdb-8342-4510-b01b-5ce856a7f0d8 · outbound

This paper cites an unresolved cited work.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:27:42.680775Z

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.

Observation 8f5ae5ef-13f0-4b08-91c1-5e7b1753ac04 · outbound

This paper cites Arithmetic and equidistribution of measures on the sphere.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Arithmetic and equidistribution of measures on the sphere

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:27:42.656785Z

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.

Observation 79e9d1ba-f6ba-45fe-9730-cc3be3bb9b47 · outbound

This paper cites Automorphic Forms and Representations , volume 55 of Cambridge Studies in Advanced Mathematics.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Automorphic Forms and Representations , volume 55 of Cambridge Studies in Advanced Mathematics

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:27:42.632979Z

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.

Observation 370fa92a-fd7d-44b9-b668-6a2075b5add9 · outbound

This paper cites On Deligne's conjecture for certain automorphic L -functions for GL (3) GL (2) and GL (4).

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ On Deligne's conjecture for certain automorphic L -functions for GL (3) GL (2) and GL (4)

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:27:42.598691Z

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.

Observation a04dfb63-a40a-4f96-8a69-e866ae1f5f89 · outbound

This paper cites Special value formula for the twisted triple product L -function and an application to the restricted L^2 -norm problem.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Special value formula for the twisted triple product L -function and an application to the restricted L^2 -norm problem

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:27:42.577100Z

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

Observation 548aa745-06e7-44f2-b766-5a0d27ac61ee · outbound

This paper cites Cowling, U.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Cowling, U

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:27:42.556978Z

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

Observation 52f5e9ce-c386-45da-b989-2c751a841b95 · outbound

This paper cites an unresolved cited work.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:27:42.535481Z

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Observation 70fb015d-9610-45a2-bb28-62ccec855be3 · outbound

This paper cites Dissipation of correlations of holomorphic cusp forms.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Dissipation of correlations of holomorphic cusp forms

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-15T20:27:41.901876Z

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Observation 50e0d023-910f-4583-bce8-94f1f466ae01 · outbound

This paper cites an unresolved cited work.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:27:42.508598Z

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Observation ddd71b6a-0993-4634-88b1-ebc97beecc9d · outbound

This paper cites Coefficients of M aass forms and the S iegel zero.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Coefficients of M aass forms and the S iegel zero

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T20:27:41.620300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 762e2c88-1bd1-4173-b031-6dceee075c95 · outbound

This paper cites Some analytic aspects of automorphic forms on gl(2) of minimal type.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Some analytic aspects of automorphic forms on gl(2) of minimal type

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:27:42.465718Z

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

Observation 22c9da66-8e6b-4a6b-a166-5dd46f13f40f · outbound

This paper cites Mass equidistribution for H ecke eigenforms.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Mass equidistribution for H ecke eigenforms

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-15T20:27:41.636123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d60df57e-759d-4914-996a-7213b166e65b · outbound

This paper cites Hida families and p -adic triple product L -functions.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Hida families and p -adic triple product L -functions

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:27:42.427379Z

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

Observation bb1944c7-95c1-4865-b8fb-015cfc411e55 · outbound

This paper cites Triple product formula and mass equidistribution on modular curves of level N.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Triple product formula and mass equidistribution on modular curves of level N

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T20:27:41.652737Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33e4e073-8d1e-4bd9-9edc-a8d63863db3c · outbound

This paper cites Trilinear forms and the central values of triple product L -functions.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Trilinear forms and the central values of triple product L -functions

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-15T20:27:41.658772Z

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Unavailable: canonical work link unavailable.

Observation 8094e63b-4d2c-4ebb-baed-aef049777695 · outbound

This paper cites Analytic number theory , volume 53 of American Mathematical Society Colloquium Publications.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Analytic number theory , volume 53 of American Mathematical Society Colloquium Publications

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T20:27:41.669445Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b432a7f0-3843-4c77-9f03-d330e517b180 · outbound

This paper cites Small eigenvalues of L aplacian for _0(N).

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Small eigenvalues of L aplacian for _0(N)

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:27:42.356026Z

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.

Observation 4f616973-cb30-47b4-986b-2183a0d019fc · outbound

This paper cites Automorphic forms on GL (2).

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Automorphic forms on GL (2)

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:27:42.328993Z

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

Observation 2b009be8-d648-477b-9a68-6a40a6d62504 · outbound

This paper cites Quantum unique ergodicity for E isenstein series on PSL _2( Z ) PSL _2( R ).

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Quantum unique ergodicity for E isenstein series on PSL _2( Z ) PSL _2( R )

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:27:42.308377Z

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

Observation d7c90488-72af-49e2-a881-75bdb617c0ca · outbound

This paper cites Invariant measures and arithmetic quantum unique ergodicity.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Invariant measures and arithmetic quantum unique ergodicity

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-15T20:27:41.695382Z

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Unavailable: canonical work link unavailable.

Observation 70eef0bf-971e-430b-b523-f5b5cde70433 · outbound

This paper cites Quantum ergodicity of eigenfunctions on PSL _2( Z) H^2.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Quantum ergodicity of eigenfunctions on PSL _2( Z) H^2

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:27:42.273460Z

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

Observation e19bbc99-bdba-4106-82f1-452c493a3a8a · outbound

This paper cites Triple product L -functions and quantum chaos on SL(2, C ).

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Triple product L -functions and quantum chaos on SL(2, C )

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:27:42.242503Z

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

Observation 0aaf4d96-da79-45b9-be11-134f48d62110 · outbound

This paper cites The subconvexity problem for GL _2.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ The subconvexity problem for GL _2

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:27:42.211367Z

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

Observation 4db16bbd-ae2a-4232-b780-76cb6fb1d451 · outbound

This paper cites an unresolved cited work.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-15T20:27:41.722341Z

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Unavailable: canonical work link unavailable.

Observation 20cc7be8-1ddb-4954-8590-7edad5672957 · outbound

This paper cites an unresolved cited work.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:27:42.176959Z

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Observation 2b25766f-4149-46b7-986e-ecafbd68d7f1 · outbound

This paper cites an unresolved cited work.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:27:42.155210Z

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Observation d46ff972-ccfa-4447-8948-6e55b4de77ce · outbound

This paper cites an unresolved cited work.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:27:42.126975Z

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

Observation 29ee7f2d-c6ec-4a3f-aaf2-21f53ef534a5 · outbound

This paper cites Nelson, Ameya Pitale, and Abhishek Saha.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Nelson, Ameya Pitale, and Abhishek Saha

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:27:42.098172Z

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

Observation 1569b824-f3ec-4e57-917c-c314bf11975a · outbound

This paper cites Laplace- B eltrami operator on a R iemann surface and equidistribution of measures.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Laplace- B eltrami operator on a R iemann surface and equidistribution of measures

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:27:42.071619Z

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

Observation 80ba8a1c-bbc9-4817-8305-ac0bec60c1e2 · outbound

This paper cites Estimates for R ankin- S elberg L -functions and quantum unique ergodicity.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Estimates for R ankin- S elberg L -functions and quantum unique ergodicity

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:27:42.044082Z

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

Observation 7cef817f-a80e-45ff-9e33-37bfde9630c2 · outbound

This paper cites Fourier transforms of intertwining operators and P lancherel measures for GL (n).

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Fourier transforms of intertwining operators and P lancherel measures for GL (n)

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-15T20:27:41.770985Z

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Unavailable: canonical work link unavailable.

Observation 8545deba-ee0a-43ae-8c3d-ed34a1dc9d07 · outbound

This paper cites Quantum unique ergodicity for SL _2( Z ) H.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Quantum unique ergodicity for SL _2( Z ) H

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:27:41.993659Z

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

Observation 68ff0901-798c-46c4-85c5-9cc27568fef9 · outbound

This paper cites Sarnak and P.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Sarnak and P

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:27:41.965407Z

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

Observation c879c446-10f2-4733-978c-ac1dc2ea64c6 · outbound

This paper cites Sparse equidistribution problems, period bounds and subconvexity.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Sparse equidistribution problems, period bounds and subconvexity

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-15T20:27:41.790734Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6dd661e5-28b9-47a4-a238-51cc8912547e · outbound

This paper cites Rankin Triple Products and Quantum Chaos.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Rankin Triple Products and Quantum Chaos

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-15T20:27:41.797092Z

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Unavailable: canonical work link unavailable.

Observation 5cc976c2-7bb2-4126-b2d3-8f99f00abe7c · outbound

This paper cites Woodbury.

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$ Woodbury

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-15T20:27:41.803978Z

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Unavailable: canonical work link unavailable.

Pith citing papers

Observation 33d14068-47c7-423b-8f15-2cbdbafdb478 · inbound

Weyl bound for trilinear periods via conformal bootstrap cites this paper.

Weyl bound for trilinear periods via conformal bootstrap Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$

Reference 115

Resolution: verified exact; local_arxiv, observed 2026-08-15T16:57:36.010484Z

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