Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-02T21:46:15.004392Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-02T21:46:15.004392Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-01T17:39:41.108809Z
A source-named dated measurement, never combined with another source.
Source: cited_works
57 of 57 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 523f8b8f-802d-4ccf-81a3-1f042fa1502c · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work
Reference 1
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.
Observation 6660c292-0189-47eb-b893-eaf25f0973f6 · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work
Reference 2
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.
Observation ef3b9a49-fe44-44bb-a878-985fbcb628ac · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Bernstein and E
Reference 3
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.
Observation beb9bc8f-8307-4cbe-8168-90d09753c59b · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Borel and N
Reference 4
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.
Observation 2719709d-c55c-4401-b27c-b5cb84877fa9 · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Castellano, S.-Y
Reference 5
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.
Observation df9ee785-81d8-4634-a972-fbd41b20ef8e · outbound
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
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.
Observation 59c6987f-45df-40ca-85b9-295dfa412898 · outbound
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
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.
Observation ac9b4007-1cba-40a0-9114-3af940765188 · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work
Reference 8
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.
Observation 3515e701-7f2f-4cb7-ba62-020bc93c37dc · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Franke, Harmonic analysis in weighted L_2 -spaces , Ann
Reference 9
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.
Observation 60047e1b-c461-4819-9bde-93cad3c8ea38 · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Franke and J
Reference 10
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.
Observation a26ad0cd-bdf1-4f14-b603-0c86bf42fbe1 · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Grbac and H
Reference 11
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.
Observation 8bb87b17-d85e-4ff3-9edc-388e0101f624 · outbound
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
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.
Observation 0dce9c58-fac7-45fd-8bd8-08cb4e9f67cb · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Grobner, Rationality for isobaric automorphic representations: the CM-case , Monatsh
Reference 13
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.
Observation 95ec13ba-0302-4abd-9f6c-e258426b17e3 · outbound
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
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.
Observation 5a69fec2-e4d5-49e3-a957-15c689a57608 · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Grobner and S
Reference 15
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.
Observation e4d09c2b-71a9-4c43-acb4-573bd0096fc9 · outbound
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
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.
Observation 152fc7af-8317-43fd-abee-71e5d2369f9a · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Hautes \'Etudes Sci
Reference 17
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.
Observation a51b8a62-0403-4179-85ca-91eeb6a97e29 · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work
Reference 18
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.
Observation e9227497-822f-4351-ac8e-1389a0ce9727 · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ 62, Springer, Berlin-New York, 1968
Reference 19
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.
Observation 4780b72a-e37e-4128-8e6c-9b863071c578 · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work
Reference 20
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.
Observation 2d40101b-026b-4045-bb71-3697faa2c5c1 · outbound
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
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.
Observation a8b0ecfe-91a4-4055-adec-39054f92078a · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Hochschild and G
Reference 22
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.
Observation 3864dd7c-e145-4213-8c7d-366472f5060d · outbound
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
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.
Observation bcbb5d4e-124a-4a2c-a22f-a637873ae0f5 · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Jacquet and J
Reference 24
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.
Observation d29111c8-e1ca-46fe-be52-4dc5a0396ceb · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Jacquet and J
Reference 25
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.
Observation 6d9fe964-7060-4dc6-a74c-18c8171e64fe · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Jacquet and J
Reference 26
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.
Observation 4488ce20-c652-4b63-924a-9aa228c9d405 · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work
Reference 27
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.
Observation 210b7199-1102-420a-89f0-00061c7e339d · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work
Reference 28
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.
Observation 97152152-1b5f-4bea-93f6-d76415c3d169 · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work
Reference 29
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.
Observation 16efb19b-3260-4c2f-9784-203e5fd6db59 · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work
Reference 30
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.
Observation cd949e44-bfc4-4efa-bc7d-8a99e80a0c4f · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work
Reference 31
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.
Observation 6703f3cb-d900-443a-88e9-66238362c9c8 · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work
Reference 32
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.
Observation 1d9e56d8-ef69-4d2d-b1ff-c2ad04776cc9 · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work
Reference 33
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.
Observation 4c59621b-48fc-492e-a747-cddadd0fbad3 · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Li and B
Reference 34
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.
Observation 3f7abdde-3d93-480c-a5d6-dc69115e6be7 · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work
Reference 35
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.
Observation 06703c26-1b06-4e73-bbc9-a432887ea9bb · outbound
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
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.
Observation e94c7772-1458-4972-9aed-1c0c9a12f1ac · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Moeglin, M.-F
Reference 37
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.
Observation bd02c282-07c4-4da3-915c-da8834012c5e · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ M glin and J.-L
Reference 38
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.
Observation 76e7f586-0f6c-47b2-9a86-eeaeed92ecc8 · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ M glin and J.-L
Reference 39
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.
Observation b8eb5f87-b9f5-425e-9b32-13d20be3a539 · outbound
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
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.
Observation 1ba6699f-671f-4991-af60-fb64b60ea7d3 · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Raghuram and F
Reference 41
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.
Observation ade375de-e735-45cf-85a1-fa78025fd5bd · outbound
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
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.
Observation 0854b17e-9bf5-40a4-baf0-f6bd7e505136 · outbound
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
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.
Observation 646c037c-8432-4d28-8f15-fd92122bbc83 · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Shahidi, On certain L-functions , Amer
Reference 44
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.
Observation e274e9a7-65c2-42f5-a04f-a8909252a5f8 · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Shahidi, Eisenstein series and automorphic L-functions , Amer
Reference 45
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.
Observation 7f5313f5-8415-4a0d-9f86-4da81b508e3a · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Shalika, The multiplicity one theorem for GL_n , Ann
Reference 46
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.
Observation f7e1263c-642a-4f05-85ed-3be76b02d885 · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ auser Class. Birkh\
Reference 47
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.
Observation 47f0e9c4-0ddd-4f28-a56a-2a218264e76f · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work
Reference 48
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.
Observation b97cf477-4ce9-4eae-bfb0-8e8d2903eb64 · outbound
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
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.
Observation c66083f9-8fbc-404b-9628-0bf7631c6210 · outbound
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
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.
Observation cba74b25-31ce-47f7-9991-7f140fe68ba9 · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Vogan, Gel'fand-Kirillov dimension for Harish-Chandra modules , Invent
Reference 51
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.
Observation c13fa93f-2afd-4a3a-aebe-1676ab1add8c · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Vogan, The unitary dual of (n) over an Archimedean field , Invent
Reference 52
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.
Observation a251ab08-3a6e-48aa-b39d-cc0bdf26fdb7 · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Vogan and G
Reference 53
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.
Observation 0d740c1f-25f6-47bf-a36e-c40970c65948 · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work
Reference 54
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.
Observation b85acd27-e48e-448f-91aa-90d05449909f · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work
Reference 55
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.
Observation e3fd4d50-ab0a-4e77-934a-fc3588fefdbd · outbound
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
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.
Observation 1eb450c2-91b4-48be-ba97-1501f785c199 · outbound
Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$ Unresolved cited work
Reference 57
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.
Observation 97bc3424-d299-4524-8c04-ec79d4648f5d · inbound
Betti-Whittaker periods under duality: variations and applications Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.