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Paper Citation Record · LEDGER

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$

As of 8 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 1 inbound Pith citation observation for arXiv:2606.23171.

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

pith.paper-citation-record.v1
2606.23171 v2

Coverage vector

measured 57 of 57 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-02T21:46:15.004392Z

measured 58 of 58 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T17:39:41.108809Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

57 of 57 outbound references displayed

  • verified exact2
  • verified fuzzy38
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 523f8b8f-802d-4ccf-81a3-1f042fa1502c · outbound

This paper cites an unresolved cited work.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-07-05T19:31:22.127146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:54dd403606252970500ade95134387ddd0ca63a63812e95d4ac9bc39e89ded0f

Observation 6660c292-0189-47eb-b893-eaf25f0973f6 · outbound

This paper cites an unresolved cited work.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work

Reference 2

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raw_fallback, observed 2026-07-05T19:31:22.103685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:c050c5491203c23317d552246ee16be595e7b87cb4d8da49680c862e8a1ebff3

Observation ef3b9a49-fe44-44bb-a878-985fbcb628ac · outbound

This paper cites Bernstein and E.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Bernstein and E

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T19:31:22.096217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:7dbdbce4707658de3fc3311c231fdbc30ffc089ab6a77be6f183e670c916d6a1

Observation beb9bc8f-8307-4cbe-8168-90d09753c59b · outbound

This paper cites Borel and N.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Borel and N

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T19:31:22.122245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:301147c5dd7c81c50ca460a6bfc33366f4464721ee7629bf84840eeeaac5e0a0

Observation 2719709d-c55c-4401-b27c-b5cb84877fa9 · outbound

This paper cites Castellano, S.-Y.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Castellano, S.-Y

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T19:31:22.094349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:c820bf88a81c34ea0c070cb0bd3cabdd9fa2f2bba4c603a6c33bf917bdc0b020

Observation df9ee785-81d8-4634-a972-fbd41b20ef8e · outbound

This paper cites Chen, Period relations between the Betti-Whittaker periods for _n under duality , Int.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Chen, Period relations between the Betti-Whittaker periods for _n under duality , Int

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T19:31:22.105582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:a4a5709597e596341fd5f03f3a5a64c0a00520de4291d5b27050fdb2e406dd3d

Observation 59c6987f-45df-40ca-85b9-295dfa412898 · outbound

This paper cites Algebraicity of ratios of Rankin-Selberg $L$-functions and applications to Deligne's conjecture.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Algebraicity of ratios of Rankin-Selberg $L$-functions and applications to Deligne's conjecture

Reference 7

Resolution
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local_arxiv, observed 2026-07-02T21:47:27.409498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:192df20ea0c940fad73aecfe064c30f95f19a72c4d32f82a371846d36371d7ac

Observation ac9b4007-1cba-40a0-9114-3af940765188 · outbound

This paper cites an unresolved cited work.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work

Reference 8

Resolution
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raw_fallback, observed 2026-07-05T19:31:22.044288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:4dbce14585b64aea3e29b6d30e17e714141549bc79164817a219194393d5a747

Observation 3515e701-7f2f-4cb7-ba62-020bc93c37dc · outbound

This paper cites Franke, Harmonic analysis in weighted L_2 -spaces , Ann.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Franke, Harmonic analysis in weighted L_2 -spaces , Ann

Reference 9

Resolution
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raw_fallback, observed 2026-07-05T19:31:22.046937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:4a3d9c8e68d9bd53fc6fefecb702fad594039a42eb8f91719fa3f4f4b54188fb

Observation 60047e1b-c461-4819-9bde-93cad3c8ea38 · outbound

This paper cites Franke and J.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Franke and J

Reference 10

Resolution
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raw_fallback, observed 2026-07-05T19:31:22.120458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:cbc141e52f04f2856476e531d0a31146e91cafde715db0e68b198983339f7230

Observation a26ad0cd-bdf1-4f14-b603-0c86bf42fbe1 · outbound

This paper cites Grbac and H.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Grbac and H

Reference 11

Resolution
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arxiv_id, observed 2026-07-02T21:47:27.412058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:47201d41b860b0628772d3bf15690f601b7d9d414dcf7db8c48ed72d4a6b019f

Observation 8bb87b17-d85e-4ff3-9edc-388e0101f624 · outbound

This paper cites Grobner, Residues of Eisenstein series and the automorphic cohomology of reductive groups , Compos.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Grobner, Residues of Eisenstein series and the automorphic cohomology of reductive groups , Compos

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T19:31:22.116869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:fda78fd1cce8ee9e7b14fc5b04f54fbb5792615bff2d355bee6f5b7267e579b1

Observation 0dce9c58-fac7-45fd-8bd8-08cb4e9f67cb · outbound

This paper cites Grobner, Rationality for isobaric automorphic representations: the CM-case , Monatsh.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Grobner, Rationality for isobaric automorphic representations: the CM-case , Monatsh

Reference 13

Resolution
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raw_fallback, observed 2026-07-05T19:31:22.081512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:5b0d9a1b59107bcc1df18b99fcbe30cabe8118742e2055b9fd5393aa9553d047

Observation 95ec13ba-0302-4abd-9f6c-e258426b17e3 · outbound

This paper cites Grobner, Smooth-automorphic forms and smooth-automorphic representations , Series on Number Theory and its Applications, 17, World Sci.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Grobner, Smooth-automorphic forms and smooth-automorphic representations , Series on Number Theory and its Applications, 17, World Sci

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T19:31:22.083402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:fbed8758a13509accf0a33bccee39c370281d6c57957de76fbd0de49e1734d42

Observation 5a69fec2-e4d5-49e3-a957-15c689a57608 · outbound

This paper cites Grobner and S.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Grobner and S

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T19:31:22.023825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:122c532284a426d1b36ebc9d17a553b42f4b17f3c4bce770925bf6e6f7ac9325

Observation e4d09c2b-71a9-4c43-acb4-573bd0096fc9 · outbound

This paper cites Harder, General aspects in the theory of modular symbols , in: Seminar on number theory, Paris 1981–82 (Paris, 1981/1982), 73--88, Progr.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Harder, General aspects in the theory of modular symbols , in: Seminar on number theory, Paris 1981–82 (Paris, 1981/1982), 73--88, Progr

Reference 16

Resolution
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raw_fallback, observed 2026-07-05T19:31:22.079517Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:cba7f3df5f4f2033d2771fec3c83c0f1b398bb3ff28048bfd9df7e0e42dc4b5e

Observation 152fc7af-8317-43fd-abee-71e5d2369f9a · outbound

This paper cites Hautes \'Etudes Sci.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Hautes \'Etudes Sci

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T19:31:22.087162Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:b88c0cc3037ea507c6e96b1c7321f7c0c8e0b6d2d0530a8bef5f58f68e7495bc

Observation a51b8a62-0403-4179-85ca-91eeb6a97e29 · outbound

This paper cites an unresolved cited work.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work

Reference 18

Resolution
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raw_fallback, observed 2026-07-05T19:31:22.057573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:3c81b970ea09c0cb1a3edb2a58ea317b5ef6d71ad4d1ffeedaed401a2dcafb60

Observation e9227497-822f-4351-ac8e-1389a0ce9727 · outbound

This paper cites 62, Springer, Berlin-New York, 1968.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ 62, Springer, Berlin-New York, 1968

Reference 19

Resolution
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raw_fallback, observed 2026-07-05T19:31:22.053590Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:bb0ff048524bd6020dbeb20144101b4495914b44bf6ae9406b6f1f2d39d2729f

Observation 4780b72a-e37e-4128-8e6c-9b863071c578 · outbound

This paper cites an unresolved cited work.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work

Reference 20

Resolution
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raw_fallback, observed 2026-07-05T19:31:22.055563Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:6dafcdef5a1049150423dfc7e162ebe5ebeb88b841e88516d9f975eed669a211

Observation 2d40101b-026b-4045-bb71-3697faa2c5c1 · outbound

This paper cites Hida, On the critical values of L -functions of GL (2) and GL (2) GL (2) , Duke Math.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Hida, On the critical values of L -functions of GL (2) and GL (2) GL (2) , Duke Math

Reference 21

Resolution
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raw_fallback, observed 2026-07-05T19:31:22.066991Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:a0bdddc70247079ae8ae7b49cf2459fdfa9f624db8bb17ec59a45fc822d34dab

Observation a8b0ecfe-91a4-4055-adec-39054f92078a · outbound

This paper cites Hochschild and G.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Hochschild and G

Reference 22

Resolution
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raw_fallback, observed 2026-07-05T19:31:22.090809Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:30b0d6fa38f490e024ab7573e0f2b29fe8647361e577829413f53713ea24dd72

Observation 3864dd7c-e145-4213-8c7d-366472f5060d · outbound

This paper cites Jacquet, Archimedean Rankin-Selberg integrals , In Automorphic forms and L -functions II.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Jacquet, Archimedean Rankin-Selberg integrals , In Automorphic forms and L -functions II

Reference 23

Resolution
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raw_fallback, observed 2026-07-05T19:31:22.101807Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:7cc0a08c5812d0e082b81c7098be8a1bc945b4d710149dc843a68db688e55270

Observation bcbb5d4e-124a-4a2c-a22f-a637873ae0f5 · outbound

This paper cites Jacquet and J.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Jacquet and J

Reference 24

Resolution
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raw_fallback, observed 2026-07-05T19:31:22.107351Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:f5404f78a2f9024ed8a541c95fc8fd9fba953678bcabfe23bf458286557378d8

Observation d29111c8-e1ca-46fe-be52-4dc5a0396ceb · outbound

This paper cites Jacquet and J.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Jacquet and J

Reference 25

Resolution
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raw_fallback, observed 2026-07-05T19:31:22.099657Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:6d40a2c0a6e4908d349c6ab3dfa2c2cdecdb9b445c3da5f6a5874187990dbc92

Observation 6d9fe964-7060-4dc6-a74c-18c8171e64fe · outbound

This paper cites Jacquet and J.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Jacquet and J

Reference 26

Resolution
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raw_fallback, observed 2026-07-05T19:31:22.038482Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:f894b5511d4b329634bcd1d01159d08b05fc9844be8421ad7a7af3f2daca4c2b

Observation 4488ce20-c652-4b63-924a-9aa228c9d405 · outbound

This paper cites an unresolved cited work.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work

Reference 27

Resolution
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raw_fallback, observed 2026-07-05T19:31:22.125427Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:9bdc9c79c73061984c9ed952560ed319524060b35cff18569c82a07c7321250a

Observation 210b7199-1102-420a-89f0-00061c7e339d · outbound

This paper cites an unresolved cited work.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-07-05T19:31:22.042596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:3dd8de5744784897f262e2df076dfb01523528172a4cea2184133f996b8e86ae

Observation 97152152-1b5f-4bea-93f6-d76415c3d169 · outbound

This paper cites an unresolved cited work.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work

Reference 29

Resolution
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raw_fallback, observed 2026-07-05T19:31:22.051665Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:0327d2b6a97af89855a8d1e2ac795153ecbaaede61773b72a10762e0e20aa5af

Observation 16efb19b-3260-4c2f-9784-203e5fd6db59 · outbound

This paper cites an unresolved cited work.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work

Reference 30

Resolution
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raw_fallback, observed 2026-07-05T19:31:22.034449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:ec5a18514a3231c3abc33f47e34118476850a519cd55ef5dac36e87cdfed7836

Observation cd949e44-bfc4-4efa-bc7d-8a99e80a0c4f · outbound

This paper cites an unresolved cited work.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work

Reference 31

Resolution
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raw_fallback, observed 2026-07-05T19:31:22.032696Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:6460bea5585969d00257ca77c3971466e9a4c922771ee531ef3564792698858e

Observation 6703f3cb-d900-443a-88e9-66238362c9c8 · outbound

This paper cites an unresolved cited work.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work

Reference 32

Resolution
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raw_fallback, observed 2026-07-05T19:31:22.029191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:57de5b2ed4a07231681274c166ad2a4616692ffa6f8bd2f469fd82a3cc072ce7

Observation 1d9e56d8-ef69-4d2d-b1ff-c2ad04776cc9 · outbound

This paper cites an unresolved cited work.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-07-05T19:31:22.030865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:18d12007e31e5d550453c042bf9047564fbfc1e99e426fe83aa03a059b6cb8cb

Observation 4c59621b-48fc-492e-a747-cddadd0fbad3 · outbound

This paper cites Li and B.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Li and B

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T19:31:22.097945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:6be4501ed94926a5c5354a323b4ae07a17822083e46de109ec4227e138f441e1

Observation 3f7abdde-3d93-480c-a5d6-dc69115e6be7 · outbound

This paper cites an unresolved cited work.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-07-05T19:31:22.025673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:b01e976f48c38e015cfe785c025a86fe1bc4e5c750e4d116dc29b5a79e03e53a

Observation 06703c26-1b06-4e73-bbc9-a432887ea9bb · outbound

This paper cites Mahnkopf, Cohomology of arithmetic groups, parabolic subgroups and the special values of L-functions of _n , J.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Mahnkopf, Cohomology of arithmetic groups, parabolic subgroups and the special values of L-functions of _n , J

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T19:31:22.027521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:a3486afc9107cbec50423b2c945a87b4892fb53f1bacd28840ce9705e92cda6c

Observation e94c7772-1458-4972-9aed-1c0c9a12f1ac · outbound

This paper cites Moeglin, M.-F.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Moeglin, M.-F

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T19:31:22.092583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:ad49dd6da7f5c2e5f37bf325f46e748027ba761ac6bfd59bf0e67f00ddafc839

Observation bd02c282-07c4-4da3-915c-da8834012c5e · outbound

This paper cites M glin and J.-L.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ M glin and J.-L

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T19:31:22.036173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:c11e543f6136aaff171e576d03d6a47259d054944ddb102068b6265d981d7d2e

Observation 76e7f586-0f6c-47b2-9a86-eeaeed92ecc8 · outbound

This paper cites M glin and J.-L.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ M glin and J.-L

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T19:31:22.049155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:40bb55feb14444e4da8d0c34add7b6dfe00a613b3b3c231444c7843c337b11da

Observation b8eb5f87-b9f5-425e-9b32-13d20be3a539 · outbound

This paper cites Muić, Spectral decomposition of compactly supported Poincaré series and existence of cusp forms , Compos.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Muić, Spectral decomposition of compactly supported Poincaré series and existence of cusp forms , Compos

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T19:31:22.085270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:c5de7492cf1ccb6d3386204dfea0173831542d36ead66c10753fcf6dacda7548

Observation 1ba6699f-671f-4991-af60-fb64b60ea7d3 · outbound

This paper cites Raghuram and F.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Raghuram and F

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T19:31:22.089004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:b9e9091b60f64d3b36c275e259e55dbc90822a04849ec377205783423b5eef0d

Observation ade375de-e735-45cf-85a1-fa78025fd5bd · outbound

This paper cites Rodier, Whittaker models for admissible representations of reductive p-adic split groups , in Harmonic Analysis on Homogeneous Spaces, Proc.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Rodier, Whittaker models for admissible representations of reductive p-adic split groups , in Harmonic Analysis on Homogeneous Spaces, Proc

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T19:31:22.115085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:295f3cd14ed3a178ff3e97f331aeac921694e80b3f7ce71baaf7a42215b5c9d4

Observation 0854b17e-9bf5-40a4-baf0-f6bd7e505136 · outbound

This paper cites Rudin, Real and Complex Analysis , 3rd ed., McGraw-Hill, New York, 1987.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Rudin, Real and Complex Analysis , 3rd ed., McGraw-Hill, New York, 1987

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T19:31:22.113119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:58cad81b38b99ef3d11367a9964b63721e6507370677233b9c0290c0e2b1802e

Observation 646c037c-8432-4d28-8f15-fd92122bbc83 · outbound

This paper cites Shahidi, On certain L-functions , Amer.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Shahidi, On certain L-functions , Amer

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T19:31:22.071140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:8913f6b1d7da86a60442f2f1021b47dd899cd6336d5d17973ed240524422f895

Observation e274e9a7-65c2-42f5-a04f-a8909252a5f8 · outbound

This paper cites Shahidi, Eisenstein series and automorphic L-functions , Amer.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Shahidi, Eisenstein series and automorphic L-functions , Amer

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T19:31:22.111147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:813a3d34dbdf3e330a8574502374c405d69ba55a24b81eb1addf92e9e6498bee

Observation 7f5313f5-8415-4a0d-9f86-4da81b508e3a · outbound

This paper cites Shalika, The multiplicity one theorem for GL_n , Ann.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Shalika, The multiplicity one theorem for GL_n , Ann

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T19:31:22.109111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:f4a56cdb758eaf4c8ceb4a93cff449518c511823c598e6bcb4ce04a1f6dbdd65

Observation f7e1263c-642a-4f05-85ed-3be76b02d885 · outbound

This paper cites auser Class. Birkh\.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ auser Class. Birkh\

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T19:31:22.069326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:0ec44b9e1434aaa2e0843f390251f5374a1bb571b60218c0b8a2bded87b28dd0

Observation 47f0e9c4-0ddd-4f28-a56a-2a218264e76f · outbound

This paper cites an unresolved cited work.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-07-05T19:31:22.072912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:4d74e77bd99068d4a51ce8b7dc9308bada23110a72445302aad142084d71526c

Observation b97cf477-4ce9-4eae-bfb0-8e8d2903eb64 · outbound

This paper cites Tadi\'c, Classification of unitary representations in irreducible representations of general linear group (non-Archimedean case) , Ann.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Tadi\'c, Classification of unitary representations in irreducible representations of general linear group (non-Archimedean case) , Ann

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T19:31:22.077155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:72789a3e5a9f9c8b5334dc94733e01d3cd5f1bbf699754c28131079c2b93fb27

Observation c66083f9-8fbc-404b-9628-0bf7631c6210 · outbound

This paper cites Tr\`eves, Topological vector spaces, distributions and kernels , Academic Press, New York-London, 1967.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Tr\`eves, Topological vector spaces, distributions and kernels , Academic Press, New York-London, 1967

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T19:31:22.075049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:824fe3a15613c25ad2fc28874ac185bccbf0c987833a1f3865d530f1dcb43bb8

Observation cba74b25-31ce-47f7-9991-7f140fe68ba9 · outbound

This paper cites Vogan, Gel'fand-Kirillov dimension for Harish-Chandra modules , Invent.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Vogan, Gel'fand-Kirillov dimension for Harish-Chandra modules , Invent

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T19:31:22.123920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:5793de051de6a3a564a54dcdd16911330a374efc8dc57c0349e7a0d951cfbc91

Observation c13fa93f-2afd-4a3a-aebe-1676ab1add8c · outbound

This paper cites Vogan, The unitary dual of (n) over an Archimedean field , Invent.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Vogan, The unitary dual of (n) over an Archimedean field , Invent

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T19:31:22.118647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:3bc1f56081c1fbe91b13d3a4467dc8e55a85647ca9ee188d26bd35f782706cb8

Observation a251ab08-3a6e-48aa-b39d-cc0bdf26fdb7 · outbound

This paper cites Vogan and G.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Vogan and G

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T19:31:22.063142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:42a7f0acbc8bf58f40475c870d806392f5719147778da26db28482f396814cd4

Observation 0d740c1f-25f6-47bf-a36e-c40970c65948 · outbound

This paper cites an unresolved cited work.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-07-05T19:31:22.064896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:14c31ae3aaa03f0736fcb2729780deb28634753c0fca4648c44633ef4b1a00f5

Observation b85acd27-e48e-448f-91aa-90d05449909f · outbound

This paper cites an unresolved cited work.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-07-05T19:31:22.059611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:98d6cf7ef23a4b2819771742ebc4da0dce96b9d5cf2ee5ae99a075ecfdec7cff

Observation e3fd4d50-ab0a-4e77-934a-fc3588fefdbd · outbound

This paper cites Weyl, The classical groups , Princeton Landmarks in Mathematics Princeton Paperbacks, , Princeton Univ.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Weyl, The classical groups , Princeton Landmarks in Mathematics Princeton Paperbacks, , Princeton Univ

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T19:31:22.040816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:cb9775d23113754dcb7d1c25b0bfddf399fd00092a5ee653b2a7d2295cb78df2

Observation 1eb450c2-91b4-48be-ba97-1501f785c199 · outbound

This paper cites an unresolved cited work.

Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-07-05T19:31:22.061276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:c4e78bf7aa6a827cdee140f24e466bf95f3d8eeb0d82323b1609be7394a6adf3

Pith citing papers

Observation 97bc3424-d299-4524-8c04-ec79d4648f5d · inbound

Betti-Whittaker periods under duality: variations and applications cites this paper.

Betti-Whittaker periods under duality: variations and applications Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-01T17:39:41.108809Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T17:39:41.108809Z digest=sha256:246ab53fc2f8b6dd0d5ac66bcfce89f18bc8da7a4cd9b384011dd7690855bf22