Paper Citation Record · LEDGER

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions

As of 18 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2501.04022.

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pith.paper-citation-record.v1
2501.04022 v1

Coverage vector

measured 40 of 40 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-10T23:56:53.779923Z

measured 40 of 40 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

40 of 40 outbound references displayed

verified exact2
verified fuzzy29
unresolved9
parse uncertain0
malformed identifier0
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External citation measurements

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Outbound references

Observation 952918f1-9968-4059-a79c-c31523efa0c1 · outbound

This paper cites Level reciprocity in the twisted second moment of R ankin- S elberg L -functions.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Level reciprocity in the twisted second moment of R ankin- S elberg L -functions

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:56:54.679494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ccdbf2af-4d0d-4423-999b-a9560fa012da · outbound

This paper cites Subconvexity for twisted L -functions on (3).

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Subconvexity for twisted L -functions on (3)

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:56:54.660502Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a6359770-dace-4650-94fb-17aa17cfa013 · outbound

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

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions On the R amanujan conjecture over number fields

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:56:54.643257Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4a63ccf8-db9c-445d-90f7-8fb675586bc3 · outbound

This paper cites The mixing conjecture under GRH.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions The mixing conjecture under GRH

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-10T23:56:53.587874Z

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Unavailable: canonical work link unavailable.

Observation c773f234-85ff-4a72-ac34-351af001a0dd · outbound

This paper cites Motohashi's fourth moment identity for non-archimedean test functions and applications.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Motohashi's fourth moment identity for non-archimedean test functions and applications

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-10T23:56:53.593946Z

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Unavailable: canonical work link unavailable.

Observation 9fa36d75-4389-41be-bfec-016b0db5a4c5 · outbound

This paper cites an unresolved cited work.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Unresolved cited work

Reference 6

Resolution: verified exact; raw_fallback, observed 2026-08-10T23:56:53.968359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7c6d807f-00dd-4837-aec7-f2c886ad8acc · outbound

This paper cites Twisted moments of L -functions and spectral reciprocity.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Twisted moments of L -functions and spectral reciprocity

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:56:54.625483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4a12c541-9ed0-4955-bbaf-a26142d058d2 · outbound

This paper cites an unresolved cited work.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:56:54.607672Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f0fc8493-b81e-4a70-b00c-b4dd856815d8 · outbound

This paper cites The Second Moment of Twisted Modular L -Functions.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions The Second Moment of Twisted Modular L -Functions

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:56:54.589884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation affbab1a-b3e6-472d-9c01-dcd4a4a991bc · outbound

This paper cites Automorphic forms and representations , volume 55 of Cambridge Studies in Advanced Mathematics.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Automorphic forms and representations , volume 55 of Cambridge Studies in Advanced Mathematics

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-10T23:56:53.621673Z

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Unavailable: canonical work link unavailable.

Observation fd816617-a7d6-4143-9619-179180af3a27 · outbound

This paper cites an unresolved cited work.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:56:54.560096Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f3cc1d15-44b2-4437-8bd2-caab7e71da2a · outbound

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

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions A relation between automorphic representations of (2) and (3)

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:56:54.542708Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fa2eb7f9-a8b1-42e2-a6d0-6a4d80fb4ac4 · outbound

This paper cites Forms of GL (2) \ from the analytic point of view.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Forms of GL (2) \ from the analytic point of view

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:56:54.521053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 718e4798-c35f-49e5-adac-223ccfc7ccac · outbound

This paper cites The subconvexity problem for R ankin- S elberg L -functions and equidistribution of H eegner points.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions The subconvexity problem for R ankin- S elberg L -functions and equidistribution of H eegner points

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:56:54.503200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d82b6fc7-26c9-4b25-9d61-55bba533be54 · outbound

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

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Coefficients of M aass forms and the S iegel zero

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-10T23:56:53.647959Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 41ab1004-a2e5-4ebe-9bd7-f30943b674f3 · outbound

This paper cites Level aspect subconvexity for R ankin- S elberg L -functions.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Level aspect subconvexity for R ankin- S elberg L -functions

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:56:54.473039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 689f8223-1e6c-46cc-b48d-5bbcead86f0e · outbound

This paper cites Triple product formula and the subconvexity bound of triple product L -function in level aspect.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Triple product formula and the subconvexity bound of triple product L -function in level aspect

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:56:54.457364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3852be1a-960c-4758-a9ea-3e188cfb2741 · outbound

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

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Triple product formula and mass equidistribution on modular curves of level N

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:56:54.441646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 836aefb7-18f4-4695-813a-ead1a624f4f5 · outbound

This paper cites Mass equidistribution on the torus in the depth aspect.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Mass equidistribution on the torus in the depth aspect

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:56:54.425460Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a0561da1-4be3-4b4b-9356-8d76864d885e · outbound

This paper cites The subconvexity problem for Rankin-Selberg and triple product L-functions.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions The subconvexity problem for Rankin-Selberg and triple product L-functions

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-10T23:56:53.673096Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 162b9b17-8eec-4835-9d80-bd928b2df28e · outbound

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

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Trilinear forms and the central values of triple product L -functions

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:56:54.408261Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2e351767-bcf3-4a36-a71d-371df60bd58c · outbound

This paper cites an unresolved cited work.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:56:54.390675Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ecffa2e4-8792-403f-980e-78992648908c · outbound

This paper cites Simultaneous non-vanishing of (3) (2) and (2) L -functions.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Simultaneous non-vanishing of (3) (2) and (2) L -functions

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:56:54.373714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 333b3af3-7b1c-4cab-95ff-f20562574175 · outbound

This paper cites Rankin- S elberg L -functions in the level aspect.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Rankin- S elberg L -functions in the level aspect

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:56:54.355878Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d43fbf17-19b7-4cbd-a1be-2cfb095f0ad6 · outbound

This paper cites Subconvexity for twisted L -functions over number fields via shifted convolution sums.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Subconvexity for twisted L -functions over number fields via shifted convolution sums

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:56:54.339157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 64169b8c-ab74-4aa1-ab1a-3f5713d925a5 · outbound

This paper cites Spectral reciprocity for the first moment of triple product L -functions and applications.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Spectral reciprocity for the first moment of triple product L -functions and applications

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:56:54.322599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 081f63ab-32a3-4e2b-9fe9-f501ea7ecb0a · outbound

This paper cites The subconvexity problem for R ankin- S elberg L -functions and equidistribution of H eegner points.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions The subconvexity problem for R ankin- S elberg L -functions and equidistribution of H eegner points

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:56:54.305672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 02a663e6-d1cb-49c5-95c5-e69710f450e4 · outbound

This paper cites Recent progresses on the subconvexity problem.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Recent progresses on the subconvexity problem

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:56:54.288517Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation deb92a92-63cf-4217-b0e2-b2b865b83896 · outbound

This paper cites The subconvexity problem for GL _2.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions The subconvexity problem for GL _2

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:56:54.272370Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 191d1194-f056-4d15-8f51-f0c9ae1d0871 · outbound

This paper cites an unresolved cited work.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:56:54.255591Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0325ef04-5786-441d-804f-52f8a3aa7d7c · outbound

This paper cites Nelson, Ameya Pitale and Abhishek Saha.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Nelson, Ameya Pitale and Abhishek Saha

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:56:54.238294Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1621d306-b4bb-485f-a480-fdc0cb4c66d0 · outbound

This paper cites Spectral reciprocity via integral representations.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Spectral reciprocity via integral representations

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:56:54.221390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fd230e28-5a4e-4f03-84c3-1d615969f52c · outbound

This paper cites Archimedean L -factors on (n) (n) and Generalized Barnes Integrals.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Archimedean L -factors on (n) (n) and Generalized Barnes Integrals

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:56:54.202733Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7fb7a4bb-ac78-4621-b48e-5a1c9942f006 · outbound

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

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Sparse equidistribution problems, period bounds and subconvexity

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:56:54.182259Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9a33b792-8aac-48e9-bdfa-50c66be35c7f · outbound

This paper cites Woodbury.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Woodbury

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:56:54.162797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0e147fa7-508d-470a-ac66-e4247ca448b1 · outbound

This paper cites Woodbury.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Woodbury

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:56:54.143556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e3cefcd7-1953-4105-9413-b7d7348f0fe3 · outbound

This paper cites Woodbury.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Woodbury

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:56:54.124592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8e278441-f37d-48d1-865d-e7046797fc92 · outbound

This paper cites Burgess-like subconvex bounds for GL _2 GL _1.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Burgess-like subconvex bounds for GL _2 GL _1

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:56:54.105742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1d44f5a0-8f36-4e3a-8125-0d1981ede9a7 · outbound

This paper cites Periods and reciprocity I.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Periods and reciprocity I

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:56:54.085415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4f8bee9c-d379-499a-95d8-008314d0bbf3 · outbound

This paper cites Periods and Reciprocity II.

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product $L$-functions Periods and Reciprocity II

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-10T23:56:53.830321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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