Paper Citation Record · LEDGER

Hybrid bounds for ${\rm{GL}}(4)\times {\rm{GL}}(1)$ twisted $L$-functions

As of 18 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2501.15801.

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

pith.paper-citation-record.v1
2501.15801 v2

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T14:10:57.426793Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

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.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

23 of 23 outbound references displayed

verified exact3
verified fuzzy13
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9bc8a3ce-90b4-40cc-b9c8-9aefb7fe6ebb · outbound

This paper cites Assing, A note for Vorono ˘ ı summation forGLn, private correspondences.

Hybrid bounds for ${\rm{GL}}(4)\times {\rm{GL}}(1)$ twisted $L$-functions Assing, A note for Vorono ˘ ı summation forGLn, private correspondences

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:10:57.702074Z

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 f91d067d-4d0c-4474-a149-4acbf2bc6125 · outbound

This paper cites Blomer and G.

Hybrid bounds for ${\rm{GL}}(4)\times {\rm{GL}}(1)$ twisted $L$-functions Blomer and G

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:10:57.691141Z

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 7a48637f-4086-4f26-94c4-1e4875d7521f · outbound

This paper cites A GL(3) converse theorem via a "beyond endoscopy" approach.

Hybrid bounds for ${\rm{GL}}(4)\times {\rm{GL}}(1)$ twisted $L$-functions A GL(3) converse theorem via a "beyond endoscopy" approach

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-10T14:10:57.510457Z

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 fcd75f9a-9e79-440a-9bee-39cf8bdb36eb · outbound

This paper cites an unresolved cited work.

Hybrid bounds for ${\rm{GL}}(4)\times {\rm{GL}}(1)$ twisted $L$-functions Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-10T14:10:57.680045Z

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 d5e1980e-a90a-41ac-8aa1-84d8cb71d5c1 · outbound

This paper cites Chandee and X.

Hybrid bounds for ${\rm{GL}}(4)\times {\rm{GL}}(1)$ twisted $L$-functions Chandee and X

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:10:57.669466Z

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 38ad519d-084a-4191-85bc-2802a6a7886f · outbound

This paper cites Corbett, Vorono ˘ ı summation forGLn: collusion between level and modulus , Amer.

Hybrid bounds for ${\rm{GL}}(4)\times {\rm{GL}}(1)$ twisted $L$-functions Corbett, Vorono ˘ ı summation forGLn: collusion between level and modulus , Amer

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:10:57.659379Z

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 6fc7cce7-d537-4c82-a256-6985336e3cea · outbound

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

Hybrid bounds for ${\rm{GL}}(4)\times {\rm{GL}}(1)$ twisted $L$-functions Subconvexity for $GL(1)$ twists of Rankin-Selberg $L$-functions

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-10T14:10:57.494598Z

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 200b22ee-a3d8-4bc2-8f4b-3260422f3ce5 · outbound

This paper cites Goldfeld, Automorphic forms and L-functions for the group GL(n, R), Cambridge Studies in Advanced Mathematics, vol.

Hybrid bounds for ${\rm{GL}}(4)\times {\rm{GL}}(1)$ twisted $L$-functions Goldfeld, Automorphic forms and L-functions for the group GL(n, R), Cambridge Studies in Advanced Mathematics, vol

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:10:57.648420Z

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 af614eeb-70b6-4211-a233-fa62e92f74d0 · outbound

This paper cites an unresolved cited work.

Hybrid bounds for ${\rm{GL}}(4)\times {\rm{GL}}(1)$ twisted $L$-functions Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-10T14:10:57.637723Z

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 07d25f8d-bc48-4f35-9371-c8e36c6137da · outbound

This paper cites Holowinsky and P.

Hybrid bounds for ${\rm{GL}}(4)\times {\rm{GL}}(1)$ twisted $L$-functions Holowinsky and P

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:10:57.626051Z

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 da40ba81-38a0-4a32-9f71-a5df4e51a3b1 · outbound

This paper cites Hou and and G.

Hybrid bounds for ${\rm{GL}}(4)\times {\rm{GL}}(1)$ twisted $L$-functions Hou and and G

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:10:57.615482Z

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 c8ae90f7-9676-4c01-9f06-4b75507863e7 · outbound

This paper cites Ichino and N.

Hybrid bounds for ${\rm{GL}}(4)\times {\rm{GL}}(1)$ twisted $L$-functions Ichino and N

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:10:57.604694Z

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 5c578637-07f4-4094-a4d9-f7e83beb4918 · outbound

This paper cites Bounds on bilinear forms with Kloosterman sums.

Hybrid bounds for ${\rm{GL}}(4)\times {\rm{GL}}(1)$ twisted $L$-functions Bounds on bilinear forms with Kloosterman sums

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-10T14:10:57.389805Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 425e19bf-289f-4cf1-bb69-5ae890dfe659 · outbound

This paper cites Khan, Subconvexity bounds for twisted L-functions, II , Trans.

Hybrid bounds for ${\rm{GL}}(4)\times {\rm{GL}}(1)$ twisted $L$-functions Khan, Subconvexity bounds for twisted L-functions, II , Trans

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:10:57.593754Z

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 5b593ced-547f-41e4-83fc-621ee0d3dad2 · outbound

This paper cites Kumar, R.

Hybrid bounds for ${\rm{GL}}(4)\times {\rm{GL}}(1)$ twisted $L$-functions Kumar, R

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-10T14:10:57.397012Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd9f0f10-9c50-4c77-9b7c-3dce5d81dea6 · outbound

This paper cites an unresolved cited work.

Hybrid bounds for ${\rm{GL}}(4)\times {\rm{GL}}(1)$ twisted $L$-functions Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-10T14:10:57.576882Z

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 9a6f2325-07f9-494f-b9b6-cbb886ea8067 · outbound

This paper cites Munshi, A note on Burgess bound , Geometry, Algebra, Number Theory, and Their Information Technology Applications, GANITA, Springer Proceedings in Mathema tics & Statistics, 2016.

Hybrid bounds for ${\rm{GL}}(4)\times {\rm{GL}}(1)$ twisted $L$-functions Munshi, A note on Burgess bound , Geometry, Algebra, Number Theory, and Their Information Technology Applications, GANITA, Springer Proceedings in Mathema tics & Statistics, 2016

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:10:57.566130Z

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 07cde099-a43e-4724-91a6-232097d1dec1 · outbound

This paper cites Munshi, Twists of GL(3) L-functions, In: M¨ uller, W., Shin, S.W., Tem- plier, N.

Hybrid bounds for ${\rm{GL}}(4)\times {\rm{GL}}(1)$ twisted $L$-functions Munshi, Twists of GL(3) L-functions, In: M¨ uller, W., Shin, S.W., Tem- plier, N

Reference 18

Resolution: verified exact; doi, observed 2026-08-10T14:10:57.458141Z

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 e8965560-f9a6-4890-a0db-5afe4c1896ff · outbound

This paper cites Petrow and M.

Hybrid bounds for ${\rm{GL}}(4)\times {\rm{GL}}(1)$ twisted $L$-functions Petrow and M

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:10:57.555552Z

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 9eef242e-7e30-47b2-abd6-ff118f9a6d93 · outbound

This paper cites an unresolved cited work.

Hybrid bounds for ${\rm{GL}}(4)\times {\rm{GL}}(1)$ twisted $L$-functions Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-10T14:10:57.544536Z

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 f406d4f4-e7fd-404d-820c-8477c1e89fa2 · outbound

This paper cites Sharma and W.

Hybrid bounds for ${\rm{GL}}(4)\times {\rm{GL}}(1)$ twisted $L$-functions Sharma and W

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:10:57.533302Z

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 2ec70650-3e8a-486c-9a22-086e93e4c15a · outbound

This paper cites Sun, Bounds for GL2 ×GL2 L-functions in depth aspect , manuscripta math.

Hybrid bounds for ${\rm{GL}}(4)\times {\rm{GL}}(1)$ twisted $L$-functions Sun, Bounds for GL2 ×GL2 L-functions in depth aspect , manuscripta math

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:10:57.522441Z

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 12fa1b79-8b37-40c5-a9ac-360761475eae · outbound

This paper cites The Voronoi formula on GL(3) with ramification.

Hybrid bounds for ${\rm{GL}}(4)\times {\rm{GL}}(1)$ twisted $L$-functions The Voronoi formula on GL(3) with ramification

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-10T14:10:57.426793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.