Paper Citation Record · LEDGER

Low-Lying Zeros of $L$-functions of Ad\'elic Hilbert Modular Forms and their Convolutions

As of 13 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 1 inbound Pith citation observation for arXiv:2412.03034.

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

pith.paper-citation-record.v1
2412.03034 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T23:06:19.241937Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T14:47:55.911730Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-11T14:47:57.083571Z

Reference resolution

22 of 22 outbound references displayed

verified exact0
verified fuzzy20
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c19b720c-02c1-4654-963e-a797e63690d8 · outbound

This paper cites Barrett, P.

Low-Lying Zeros of $L$-functions of Ad\'elic Hilbert Modular Forms and their Convolutions Barrett, P

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:06:19.621235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8c7d5a4b-6241-4643-a88d-6ba93a0948b4 · outbound

This paper cites Blasius , Hilbert modular forms and the Ramanujan conjecture , in Noncommutative geometry and number theory, vol.

Low-Lying Zeros of $L$-functions of Ad\'elic Hilbert Modular Forms and their Convolutions Blasius , Hilbert modular forms and the Ramanujan conjecture , in Noncommutative geometry and number theory, vol

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:06:19.607079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f2f9f510-db50-47ae-9c89-d6c9026980a9 · outbound

This paper cites Garrett , Holomorphic Hilbert modular forms , The Wadsworth & Brooks/Cole Mathematics Series, Wadsworth & Brooks/Cole Advanced Books & Software, Paciﬁc G rove, CA, 1990.

Low-Lying Zeros of $L$-functions of Ad\'elic Hilbert Modular Forms and their Convolutions Garrett , Holomorphic Hilbert modular forms , The Wadsworth & Brooks/Cole Mathematics Series, Wadsworth & Brooks/Cole Advanced Books & Software, Paciﬁc G rove, CA, 1990

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:06:19.592964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6fc6cb15-656c-486a-b47e-c7a0adb205c4 · outbound

This paper cites Gelbart and H.

Low-Lying Zeros of $L$-functions of Ad\'elic Hilbert Modular Forms and their Convolutions Gelbart and H

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:06:19.577264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d12211e2-fbb6-435e-9f0a-3bbfc6a863ab · outbound

This paper cites Iwaniec and E.

Low-Lying Zeros of $L$-functions of Ad\'elic Hilbert Modular Forms and their Convolutions Iwaniec and E

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:06:19.564977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6b7ab64f-ebc8-4d28-ac59-6a0146d025bb · outbound

This paper cites Iwaniec, W.

Low-Lying Zeros of $L$-functions of Ad\'elic Hilbert Modular Forms and their Convolutions Iwaniec, W

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:06:19.550288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b944e3cc-df40-40e5-a24b-a36eb8699851 · outbound

This paper cites an unresolved cited work.

Low-Lying Zeros of $L$-functions of Ad\'elic Hilbert Modular Forms and their Convolutions Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:06:19.533464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f48fdd3f-c228-46fe-8051-001585eee48d · outbound

This paper cites Lesesvre, Low-lying zeros of L-functions for quaternion algebras , Ann.

Low-Lying Zeros of $L$-functions of Ad\'elic Hilbert Modular Forms and their Convolutions Lesesvre, Low-lying zeros of L-functions for quaternion algebras , Ann

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:06:19.512387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2d84791b-90ab-4b81-8250-1b6c7f5e0270 · outbound

This paper cites Liu and S.

Low-Lying Zeros of $L$-functions of Ad\'elic Hilbert Modular Forms and their Convolutions Liu and S

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:06:19.496847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 773597ef-d6ca-48a8-a32d-d3b454397d3c · outbound

This paper cites Prasad and D.

Low-Lying Zeros of $L$-functions of Ad\'elic Hilbert Modular Forms and their Convolutions Prasad and D

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:06:19.479845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dc458906-7574-4359-aefc-83033daa04cc · outbound

This paper cites Radziwi/suppress l/suppress l and K.

Low-Lying Zeros of $L$-functions of Ad\'elic Hilbert Modular Forms and their Convolutions Radziwi/suppress l/suppress l and K

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:06:19.459173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2a3151ac-b8b3-4cce-a3c2-68d7b57cbc4c · outbound

This paper cites Raghuram and N.

Low-Lying Zeros of $L$-functions of Ad\'elic Hilbert Modular Forms and their Convolutions Raghuram and N

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:06:19.446165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b5b54a69-eeaf-4d63-9433-f31c765b0fd2 · outbound

This paper cites Ramakrishnan , Modularity of the Rankin-Selberg L-series, and multiplicity one for SL(2), Ann.

Low-Lying Zeros of $L$-functions of Ad\'elic Hilbert Modular Forms and their Convolutions Ramakrishnan , Modularity of the Rankin-Selberg L-series, and multiplicity one for SL(2), Ann

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:06:19.430443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d3969ae5-e541-45b1-88c0-e31e0850cb9f · outbound

This paper cites Ramakrishnan and L.

Low-Lying Zeros of $L$-functions of Ad\'elic Hilbert Modular Forms and their Convolutions Ramakrishnan and L

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:06:19.413376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 54ddefdf-6105-4972-8276-4844847926f8 · outbound

This paper cites Ricotta and E.

Low-Lying Zeros of $L$-functions of Ad\'elic Hilbert Modular Forms and their Convolutions Ricotta and E

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:06:19.396061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f4909683-0f2c-4151-a804-2ca920aebeee · outbound

This paper cites Shashkov, Low lying zeros of Rankin-Selberg L-functions, preprint (2023).

Low-Lying Zeros of $L$-functions of Ad\'elic Hilbert Modular Forms and their Convolutions Shashkov, Low lying zeros of Rankin-Selberg L-functions, preprint (2023)

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:06:19.380144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 89e14d28-b9a1-4e42-8eac-a68acc193606 · outbound

This paper cites Shimura, The special values of the zeta functions associated with Hil bert modular forms , Duke Math.

Low-Lying Zeros of $L$-functions of Ad\'elic Hilbert Modular Forms and their Convolutions Shimura, The special values of the zeta functions associated with Hil bert modular forms , Duke Math

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:06:19.361408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2eeb1373-dd0a-4f6d-8a51-d1e6c98ff164 · outbound

This paper cites an unresolved cited work.

Low-Lying Zeros of $L$-functions of Ad\'elic Hilbert Modular Forms and their Convolutions Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:06:19.347300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1787a002-c757-460f-89ee-520255e726bb · outbound

This paper cites Sugiyama, Low-lying zeros of symmetric power L-functions weighted by symmetric square L-values, to appear in J.

Low-Lying Zeros of $L$-functions of Ad\'elic Hilbert Modular Forms and their Convolutions Sugiyama, Low-lying zeros of symmetric power L-functions weighted by symmetric square L-values, to appear in J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:06:19.333926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c5afb837-312b-47ea-ae7b-a32b22443edc · outbound

This paper cites Trotabas, Non annulation des fonctions L des formes modulaires de Hilbert au point central , Ann.

Low-Lying Zeros of $L$-functions of Ad\'elic Hilbert Modular Forms and their Convolutions Trotabas, Non annulation des fonctions L des formes modulaires de Hilbert au point central , Ann

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:06:19.319977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a485d92b-1db8-4f5c-96b1-cf22aeb7f74b · outbound

This paper cites Walji , Further reﬁnement of strong multiplicity one for GL(2), Trans.

Low-Lying Zeros of $L$-functions of Ad\'elic Hilbert Modular Forms and their Convolutions Walji , Further reﬁnement of strong multiplicity one for GL(2), Trans

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:06:19.304964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2e9ca09e-2539-4bc4-9ae4-9388cb1882d8 · outbound

This paper cites Wong, Reﬁnements of strong multiplicity one for GL(2), Math.

Low-Lying Zeros of $L$-functions of Ad\'elic Hilbert Modular Forms and their Convolutions Wong, Reﬁnements of strong multiplicity one for GL(2), Math

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:06:19.290012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

Observation 05848e86-ed17-46a7-9667-ebee0db344d1 · inbound

Unitary $n$-correlations with restricted support in random matrix theory cites this paper.

Unitary $n$-correlations with restricted support in random matrix theory Low-Lying Zeros of $L$-functions of Ad\'elic Hilbert Modular Forms and their Convolutions

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-11T14:47:57.099494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.