Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T00:08:47.884009Z
Paper Citation Record · LEDGER
Spectral Reciprocity for the first moment of triple product $L$-functions and applications
As of 18 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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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
Reference resolution
32 of 32 outbound references displayed
- verified exact1
- verified fuzzy4
- unresolved27
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External citation measurements
No source-named external measurement is stored.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:08:47.668316Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:08:47.676101Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:08:47.683431Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T00:08:48.110636Z
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 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
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:08:47.701364Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:08:47.709282Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:08:47.716979Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:08:47.723058Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:08:47.729369Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:08:47.735443Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:08:47.742476Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:08:47.749527Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:08:47.755971Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:08:47.762188Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:08:47.768105Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:08:47.776784Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:08:47.786468Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:08:47.793444Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:08:47.801037Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:08:48.290386Z
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 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
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:08:47.818819Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:08:47.824628Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:08:47.830345Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:08:48.230630Z
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 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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:08:48.209183Z
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 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
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:08:47.847296Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T00:08:48.177302Z
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 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
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:08:47.859410Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:08:47.866249Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:08:47.872570Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:08:47.877775Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T00:08:47.884009Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.