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Paper Citation Record · LEDGER

Spectral Reciprocity for the first moment of triple product $L$-functions and applications

As of 21 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2501.10418.

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

pith.paper-citation-record.v1
2501.10418 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T00:08:47.884009Z

measured 32 of 32 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

32 of 32 outbound references displayed

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  • unresolved27
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External citation measurements

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Outbound references

Observation a3f30704-f346-4417-a55c-1271fa751dd4 · outbound

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

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

Reference 1

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source=arxiv_source observed=2026-08-11T00:08:47.668316Z digest=sha256:0fc78ccc6fa616a2f62ed0372fcb802ebc1c973707777cb5bd912679cfd3d28f

Observation 99115832-db0e-4ea4-8b91-0bec08e9e311 · outbound

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

Spectral Reciprocity for the first moment of triple product $L$-functions and applications Subconvexity for twisted L -functions on (3)

Reference 2

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source=arxiv_source observed=2026-08-11T00:08:47.676101Z digest=sha256:36db1fb34c4036a808f9ccfbc1ef4f174b143db61788347daceacdf25761fd8f

Observation b372c0dc-55c6-4400-bda0-fe64a864c1b9 · outbound

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

Spectral Reciprocity for the first moment of triple product $L$-functions and applications On the R amanujan conjecture over number fields

Reference 3

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source=arxiv_source observed=2026-08-11T00:08:47.683431Z digest=sha256:89db0a905180f2e6072bebb71ba307878dbb6495d42c00ba2558debee6288c08

Observation a6f8eea1-cc33-4589-aade-6f23c42fba15 · outbound

This paper cites The Weyl bound for triple product L-functions.

Spectral Reciprocity for the first moment of triple product $L$-functions and applications The Weyl bound for triple product L-functions

Reference 4

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source=arxiv_source observed=2026-08-11T00:08:47.690623Z digest=sha256:8227cd8129ffa2ffb2c5d107279479373131956ed28b299df5ffd6f6b8ef265f

Observation 0d0323e1-8a66-441b-889b-a595b61fcbf7 · outbound

This paper cites an unresolved cited work.

Spectral Reciprocity for the first moment of triple product $L$-functions and applications Unresolved cited work

Reference 5

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source=arxiv_source observed=2026-08-11T00:08:47.701364Z digest=sha256:0cea8c79a886565197f4ecfd598c9e39de45a2250f0a717ef810ba062b4270f4

Observation e536120b-ff1b-4444-b374-18659c529ed2 · outbound

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

Spectral Reciprocity for the first moment of triple product $L$-functions and applications Twisted moments of L -functions and spectral reciprocity

Reference 6

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source=arxiv_source observed=2026-08-11T00:08:47.709282Z digest=sha256:bd2f404d05fe9e7f3388164402911535e64ff90cfec1e7d1abaedd52ad2bdbc8

Observation 5b04255c-7152-4abc-82ba-160269fc269f · outbound

This paper cites an unresolved cited work.

Spectral Reciprocity for the first moment of triple product $L$-functions and applications Unresolved cited work

Reference 7

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source=arxiv_source observed=2026-08-11T00:08:47.716979Z digest=sha256:c5c03333877e035a151b3cd9d099ccc420ac4658662319343d4b7c6d2573b272

Observation 4bb75edf-1c5b-48e1-9a4c-740c92fa6350 · outbound

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

Spectral Reciprocity for the first moment of triple product $L$-functions and applications Automorphic forms and representations , volume 55 of Cambridge Studies in Advanced Mathematics

Reference 8

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source=arxiv_source observed=2026-08-11T00:08:47.723058Z digest=sha256:aee79b52560a9596b9a3e80e0619d89a443663faccf2e45b0806d12efb6abf80

Observation 43d63ee5-0f56-4096-a0ee-921ae8da0615 · outbound

This paper cites an unresolved cited work.

Spectral Reciprocity for the first moment of triple product $L$-functions and applications Unresolved cited work

Reference 9

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source=arxiv_source observed=2026-08-11T00:08:47.729369Z digest=sha256:e67e2b05aa0f07fac3eafa06b2b6f1141da5196d4832456b0955b107a1ffc31e

Observation 5f305dc0-d407-4fb3-a01c-42c0a566dd08 · outbound

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

Spectral Reciprocity for the first moment of triple product $L$-functions and applications Forms of GL (2) \ from the analytic point of view

Reference 10

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source=arxiv_source observed=2026-08-11T00:08:47.735443Z digest=sha256:3556612d7c1152f012b4d51b2636aa2e626da2c350df8803d5e6f15cfb360d1d

Observation e79a0163-7ef0-4133-960f-4662fbc06361 · outbound

This paper cites Subconvexity for $GL(1)$ twists of Rankin-Selberg $L$-functions.

Spectral Reciprocity for the first moment of triple product $L$-functions and applications Subconvexity for $GL(1)$ twists of Rankin-Selberg $L$-functions

Reference 11

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source=arxiv_source observed=2026-08-11T00:08:47.742476Z digest=sha256:1d02850843e745bacca0ab3a002def6b99434365484687fabc51fb2165a0ffb8

Observation 6ee73a78-d7e4-4fe4-939a-d4415d08de93 · outbound

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

Spectral Reciprocity for the first moment of triple product $L$-functions and applications The subconvexity problem for R ankin- S elberg L -functions and equidistribution of H eegner points

Reference 12

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source=arxiv_source observed=2026-08-11T00:08:47.749527Z digest=sha256:18118c590b9a56ff969f58b1939e7fc3271127255e3cb4c2c52f4e5c9cd9efb2

Observation ece2c15f-abb3-460f-8b79-6df1f0044a0b · outbound

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

Spectral Reciprocity for the first moment of triple product $L$-functions and applications Coefficients of M aass forms and the S iegel zero

Reference 13

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source=arxiv_source observed=2026-08-11T00:08:47.755971Z digest=sha256:3df1a4356fd4013767555689ceb9e13478b444bbbdccf2d32c977b84a77fac7d

Observation ae0f0c03-b596-444c-879f-bd2ce9550323 · outbound

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

Spectral Reciprocity for the first moment of triple product $L$-functions and applications Triple product formula and the subconvexity bound of triple product L -function in level aspect

Reference 14

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source=arxiv_source observed=2026-08-11T00:08:47.762188Z digest=sha256:6b43c5457559f38abf968901e54c4962296d52bb435b53b7506502fff2977d4a

Observation 12ebb308-34c6-4ce5-9a88-31f94d32d3c5 · outbound

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

Spectral Reciprocity for the first moment of triple product $L$-functions and applications The subconvexity problem for Rankin-Selberg and triple product L-functions

Reference 15

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source=arxiv_source observed=2026-08-11T00:08:47.768105Z digest=sha256:76a6e3a8957b9e335a3641d63e7b38c6e662429d09c3f2e7a0ef39a92107c789

Observation d9d31c3a-5332-4f0d-b874-8c8760b48e02 · outbound

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

Spectral Reciprocity for the first moment of triple product $L$-functions and applications Trilinear forms and the central values of triple product L -functions

Reference 16

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source=arxiv_source observed=2026-08-11T00:08:47.776784Z digest=sha256:8fa2050599c350972c1b04f043f9cdd432616ec57bc96d95600a8df8c2449602

Observation afa3e12e-877d-4c65-ad38-9e9bafa859c5 · outbound

This paper cites an unresolved cited work.

Spectral Reciprocity for the first moment of triple product $L$-functions and applications Unresolved cited work

Reference 17

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source=arxiv_source observed=2026-08-11T00:08:47.786468Z digest=sha256:030d868186d3351c626c864b494db9e5483884b2b804afdd61c3d939fd96b79d

Observation e9eb5615-13b1-4079-bff9-858b77657082 · outbound

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

Spectral Reciprocity for the first moment of triple product $L$-functions and applications Simultaneous non-vanishing of (3) (2) and (2) L -functions

Reference 18

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source=arxiv_source observed=2026-08-11T00:08:47.793444Z digest=sha256:456667f9eaf58611313b66af9f2654c142f63de8402a57fda196d7939cd28f43

Observation e861fca8-dc58-4a34-b31c-96b1ba8728e0 · outbound

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

Spectral Reciprocity for the first moment of triple product $L$-functions and applications Rankin- S elberg L -functions in the level aspect

Reference 19

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source=arxiv_source observed=2026-08-11T00:08:47.801037Z digest=sha256:e45213aa3f1bf7c419ed000c20a05dbd5271967308948e6dfd2ab3a592fa163e

Observation 70acca7d-ffcb-4a76-8b10-0217c330c949 · outbound

This paper cites Spectral reciprocity and hybrid subconvexity bound for triple product L -functions.

Spectral Reciprocity for the first moment of triple product $L$-functions and applications Spectral reciprocity and hybrid subconvexity bound for triple product L -functions

Reference 20

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T00:08:47.809709Z digest=sha256:d65ba119a33cf1518055ef6fa558006651fb1d56f9f684cd6195525c12af881a

Observation 7734a752-14d4-4cf9-b1c4-0739ad5d1409 · outbound

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

Spectral Reciprocity for the first moment of triple product $L$-functions and applications The subconvexity problem for R ankin- S elberg L -functions and equidistribution of H eegner points

Reference 21

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source=arxiv_source observed=2026-08-11T00:08:47.818819Z digest=sha256:b867421351b97ab508d277bc5bd9066214ad4a29cfe6dbd2cc97783eb3380bdf

Observation 15b6c159-e88b-4b49-b6ac-381bb4b6ed53 · outbound

This paper cites Recent progresses on the subconvexity problem.

Spectral Reciprocity for the first moment of triple product $L$-functions and applications Recent progresses on the subconvexity problem

Reference 22

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source=arxiv_source observed=2026-08-11T00:08:47.824628Z digest=sha256:01ce746093b57592feb7c57e63a816ee51ea47a150cc0aee7dc9d231d5de3826

Observation 04a56eec-5db6-4cfd-b2c5-e33a98839108 · outbound

This paper cites The subconvexity problem for GL _2.

Spectral Reciprocity for the first moment of triple product $L$-functions and applications The subconvexity problem for GL _2

Reference 23

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source=arxiv_source observed=2026-08-11T00:08:47.830345Z digest=sha256:f503cb103bc05f8bace1317d0db6b2f416b6f4958dda8aac7f33c576e72448aa

Observation 58fbf1dc-3ddc-441c-abde-aab678ee2e0d · outbound

This paper cites Hybrid subconvexity bounds for twists of _2 _2 L -functions.

Spectral Reciprocity for the first moment of triple product $L$-functions and applications Hybrid subconvexity bounds for twists of _2 _2 L -functions

Reference 24

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T00:08:47.836174Z digest=sha256:0f605f20d4f72d0b8f06124df06948cf989641f72b17d73071de30ad99acb04a

Observation f522f734-5cc3-4e02-900b-ffdb30f9c469 · outbound

This paper cites Bounds for _2 _2 L -functions in the depth aspect.

Spectral Reciprocity for the first moment of triple product $L$-functions and applications Bounds for _2 _2 L -functions in the depth aspect

Reference 25

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T00:08:47.841479Z digest=sha256:5d2424ae53d9e506040f89b90cf63096b79705c81976c0abfff6a7ad0740d9ff

Observation bd3f7955-2b7b-49fb-ad03-5ccd898d0484 · outbound

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

Spectral Reciprocity for the first moment of triple product $L$-functions and applications Sparse equidistribution problems, period bounds and subconvexity

Reference 26

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source=arxiv_source observed=2026-08-11T00:08:47.847296Z digest=sha256:2c4c71db5f9f3dd5def2a8f0d71291785cc75fe8b1dc9ac966945f74415fdb7d

Observation 066f73cb-1c3d-42fc-bef5-8a0dacafc8dd · outbound

This paper cites Woodbury.

Spectral Reciprocity for the first moment of triple product $L$-functions and applications Woodbury

Reference 27

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source=arxiv_source observed=2026-08-11T00:08:47.852842Z digest=sha256:671cf0b7581c08d616cb253c4ff1c80c09bfe5ec9699c1b8f1e15b9f4df71777

Observation 1ae56865-39f6-47a9-98dd-00021dc2dca1 · outbound

This paper cites Woodbury.

Spectral Reciprocity for the first moment of triple product $L$-functions and applications Woodbury

Reference 28

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source=arxiv_source observed=2026-08-11T00:08:47.859410Z digest=sha256:84acc1d73c4a9a0b7f549166d8cd322dc41e8742a7e86597a6c804335e3d10ac

Observation 269b6928-4522-47c5-bdf3-02b6cfc1aad3 · outbound

This paper cites Woodbury.

Spectral Reciprocity for the first moment of triple product $L$-functions and applications Woodbury

Reference 29

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source=arxiv_source observed=2026-08-11T00:08:47.866249Z digest=sha256:a3f55c5c0884dcf324b47d733f5312cc25e3acf8b39ef949cf5c7835adfd3dbc

Observation c3433007-f23f-411a-a565-e7167d639ec4 · outbound

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

Spectral Reciprocity for the first moment of triple product $L$-functions and applications Burgess-like subconvex bounds for GL _2 GL _1

Reference 30

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source=arxiv_source observed=2026-08-11T00:08:47.872570Z digest=sha256:e97c37fe202075357a4934719202c53b722715720fea2642d341067df5a9db68

Observation 8c86fddb-b546-40c5-9566-3f636d8338db · outbound

This paper cites Periods and reciprocity I.

Spectral Reciprocity for the first moment of triple product $L$-functions and applications Periods and reciprocity I

Reference 31

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source=arxiv_source observed=2026-08-11T00:08:47.877775Z digest=sha256:42564e8eb582d480cf52cb635f182ecabc96386ac14c87f66295068c27706cbb

Observation 54e9da10-80c2-4b60-98b1-24580b944856 · outbound

This paper cites Periods and Reciprocity II.

Spectral Reciprocity for the first moment of triple product $L$-functions and applications Periods and Reciprocity II

Reference 32

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source=arxiv_source observed=2026-08-11T00:08:47.884009Z digest=sha256:4ec5ca8e7fcfc5cc015f89b5f946242845c31e8450ee4f385d928fbd7165a5b0

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