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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 2026-08-08T06:32:00.761636+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
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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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:07490444cfa7bfcdc142433295af5782479693573911b58212d06a9541b4d4ff

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:4451d103d169daf09b68cfcff12d09f66e1f7ba01927272255136c569f81a311

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:5cc26a1bb021d4a9dd674a81c2526243ea5b8f8efd2fc936c8cd1da64ba3a166

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:df1e8bb00f82c26807ebffbcce92360eb4b1d0e43eb9e8e028fb9443f4ebda7e

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
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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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:a419314f5038f097217e0e3a7e05da924136458ee486487a927ddae50480af4e

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:b8fa76e9d1a71fdbc24ea96432356473ba8b26898fad0ac38d3c7339eb6f8510

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
verified exact
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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:3b8d26c3895f4b2e0e6c360d4b7d2181352b87ed006a5800f1ae7efc6c685093

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
unresolved
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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:bddfd89700021906c1842548e4787916aeb3d9e303f9866109d9c95bf5465efa

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:91812e57e58d9327deb7d2730c3a1e4ffcb022e86106e842a0553986884b0694

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
verified fuzzy
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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:24a0eab36390886486c2a863a2e5bf249e6a0eff77b31364399226e71bb9fa2c

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
verified exact
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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:bd2469bb88b129f1a6ba6cdd11c77a90bb9d3107ea239a240b1dfe6c662088e6

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:1ec956e214a343f8ff8a1a0bf618f8b851b23e00dbd7f9c70578d5621b5c185b

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:1fd9ee7664ba657abbf73912ea0d13ba6ee40e660c9ba68292cecf1bb90cc091

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:230e54042ef0621b8f765d512987a668b01c84e1a0a1623b5953bbb2546880fc

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
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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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:24eba62fe1c5f69e914944e53a91c85bbd4d365f515dc3b41892df65d87c5416

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:c5cd7ea31dd416b5f2a7ccf405db4f6167ad4eb5013f580b9c203d7135dbb4dc

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:bee74b5cf73ab265daa99d9954379ecb18a75b161ac267e2ea919cae78062343

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:e3dd951fe924a4e4511162f692c4c5b38efec42ca008f4c6738b13952353f3c0

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:c25509630387764f72ac9f8f5a39c26afc458aafdb889b0aa033ce8a94da2edb

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:94b24698c30547b06f53d7aa209eebd05eaba170637ed2dbf3b275c0cb166187

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:e8e4881cc33d1a89e093141ca1004e7186421d6aa015822454de323e22210457

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

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:afa43da0f5a3d8288b5fbd21b224cecb919832ca1a80f12a860af2e9ebe8e71c

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:f1ca07cb385e41620acdc213eed36e90738d73ee9b20144b40d828e947b6dfb3

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:f060744a30b52379a714c0e33e08743f130e99aac530ee019d306521c74b71ec

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:d892bddf68c5b32be475ef470680d3265ba4567d900427560e7f61a732ec9c00

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

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:ef59f631560e6914bb74af233bb29fa138a83cf66eb9201e9090a44c5f8b09d4

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:57b71af6ad3ec4b51027595fd88068772ac7aed2aceaeb6da8dcb3b5d8de80f4

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:f3efc8051f1ba96f6fd95f4c8a0df55e2b80f48d65aff54914bd9fef161fbd4e

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:4445fdf68493ccfa46aaa14e626e1d752eb9e45ffe183870ec303ee4e987ea19

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
unresolved
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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:2f1b354d7bbf2b2b834b98098b98cc2bcc18861071ae4152649f458d0a867ea0

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:2e63e001d5b4f675e3ee8a679a2c8915207c54cef6f3f2fd3b806ea7fc0717ad

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

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:8d204ad63d4b6154f9bd6fe8167f1c4834d1f744a6fcad4ea87e22512598c90b

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:7b55f97a004e84ae2ae634c96abdb9f7f4ee812db933268942552479895044da

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:fb29db9d7d04ab6c8b64b33136efb2d245de4bd6e01b8239f10302bc1f048023

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:d7a000587b1f1adaba86df02032636d8b095602cff665789ab5b8383b0267729

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:6093f5e4b24be058762359c64d63691cb4b157048f2ddb7803059f60a15cb752

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:d2c7283b89e4397356e70fb59aeef3dcffa7f8c8c165d4ddc71c732d7a78a8c0

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:0e878ea937b025c0c63ce21fee9884f34e4eac3dab1de69e819261cb5daeaab4

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:80292a0974415e2a6bfca3096233006a3b1f7841f27e09f9a0339bb5b78fca5f

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:8eddf2df304ad6b48f6a28e89b0d9224b588a20b6bf8b91a32b8cd57e72518ae

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:1841ef22207fdd0bd258478adb0e961809925240217bc21f8dc2d22a7d872c1d

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:f83a81a29f3e3d1548b02a2b3fa3c6b9452454de257ee07c63dd2f899b33574b

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:84fda6c2e639fa3413ae5ab50182b8d2f6070cde6ff752d24c7d6a8149491b08

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:535ebf5530249645ae63530f744054172f69ab5bb551e9325d510498982dab8f

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:19a17b628a3e52c4ab5dc0c8858624da65a447d2f4bb3187fbeb4f29714cd03f

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:ca84c1e57df1660b320c8a582300a9833d8756d111539c943c007c350d17c0ad

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:3be39c49ca6963c8928cda426373465487f5288fdc8194f6438232d598e8fa22

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:a445472dfc9319cd005173e9c43d3d0de0f279e6c6619e67b88e209009eefa14

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:2611e932b9b8ce15627099a00ab605784ad4704a77f42dd300b8303c2825970d

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:c4ba3d6f8e4a0caae96ce0e7e72e4e86e4a511021f54598a421db912890c94e8

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:b4743d3023d8d116f7157ffd6fb3df1cc4f5e9276991547d1fd172ef0682ecff

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:42fa18b3aa8b5d45fe828491c24ed2d42ad680589f7f321d40aaebd47b5e0da0

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:dbd100dd9bef7e3013f260833776fe1bcbde903af6d038a5229152c198d968e4

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:435f3d1c673ced45efb18718735b0f986417b17c5126a85ae31d59a3e1c150ca

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:0da25ececef93484c8bbee28bfee64265d54c8a46495a3fe1cbed65815bb0549

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:c3b23c792445f4aaf5e7baef60c8884f3d74836971b6ac358f92329a04e56181

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-02T21:46:15.004392Z digest=sha256:190682957aa422a1597337fcf22a21ebfc115ea347ee98e9e384af23d56146dd

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