Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations | Paper Citation Record

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This paper cites Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula , volume 120 of Annals of Mathematics Studies.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula , volume 120 of Annals of Mathematics Studies

Reference 1

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This paper cites Allen, Frank Calegari, Ana Caraiani, Toby Gee, David Helm, Bao Le Hung, James Newton, Peter Scholze, Richard Taylor, and Jack A.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Allen, Frank Calegari, Ana Caraiani, Toby Gee, David Helm, Bao Le Hung, James Newton, Peter Scholze, Richard Taylor, and Jack A

Reference 2

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This paper cites Generalized Harish-Chandra descent, Gelfand pairs, and an Archimedean analog of Jacquet-Rallis's theorem.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Generalized Harish-Chandra descent, Gelfand pairs, and an Archimedean analog of Jacquet-Rallis's theorem

Reference 3

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Reference 4

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This paper cites On certain Dirichlet series associated with Hilbert modular forms and Rankin's method.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations On certain Dirichlet series associated with Hilbert modular forms and Rankin's method

Reference 5

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Observation 64eb3968-2e46-4ff4-ad3c-d011f8486dc6 · outbound

This paper cites A proof of Kirillov 's conjecture.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations A proof of Kirillov 's conjecture

Reference 6

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This paper cites Bernstein.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Bernstein

Reference 7

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Observation 650d2b46-eaeb-4c58-8e9b-70e67a4a7ab6 · outbound

This paper cites L-Functions and Tamagawa Numbers of Motives , pages 333--400.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations L-Functions and Tamagawa Numbers of Motives , pages 333--400

Reference 8

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This paper cites Raghuram.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Raghuram

Reference 9

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This paper cites Congruences and period relations for imaginary quadratic quadratic base change for GL_3.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Congruences and period relations for imaginary quadratic quadratic base change for GL_3

Reference 10

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This paper cites Automorphic forms and representations , volume 55 of Camb.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Automorphic forms and representations , volume 55 of Camb

Reference 11

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This paper cites Borel and N.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Borel and N

Reference 12

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This paper cites Derived deformation rings and cohomology of locally symmetric spaces.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Derived deformation rings and cohomology of locally symmetric spaces

Reference 13

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This paper cites Formes modulaires et représentations galoisiennes à valeurs dans un anneau local complet.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Formes modulaires et représentations galoisiennes à valeurs dans un anneau local complet

Reference 14

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Observation 7d1f60ba-43d7-441f-8a65-b900fb6e8450 · outbound

This paper cites Modularity lifting beyond the Taylor–Wiles method.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Modularity lifting beyond the Taylor–Wiles method

Reference 15

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This paper cites Gulotta, and Christian Johansson.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Gulotta, and Christian Johansson

Reference 16

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This paper cites Chida and M.-L.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Chida and M.-L

Reference 17

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This paper cites Algebraicity of the near central non-critical values of symmetric fourth L-functions for Hilbert modular forms.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Algebraicity of the near central non-critical values of symmetric fourth L-functions for Hilbert modular forms

Reference 18

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This paper cites Cogdell, Henry H.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Cogdell, Henry H

Reference 19

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This paper cites Motives and automorphic forms: application of the functoriality principle.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Motives and automorphic forms: application of the functoriality principle

Reference 20

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This paper cites Cohomology of Siegel varieties.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Cohomology of Siegel varieties

Reference 21

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This paper cites Mazur's conjecture on higher Heegner points.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Mazur's conjecture on higher Heegner points

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:41.039182Z

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This paper cites Values of $L$ -functions and periods of integrals.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Values of $L$ -functions and periods of integrals

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:41.022636Z

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This paper cites Galois representations modulo p and cohomology of Hilbert modular varieties.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Galois representations modulo p and cohomology of Hilbert modular varieties

Reference 24

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This paper cites Representation Theory: A First Course , volume 129 of Graduate Texts in Mathematics.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Representation Theory: A First Course , volume 129 of Graduate Texts in Mathematics

Reference 25

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Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Unresolved cited work

Reference 26

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Reference 27

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Reference 28

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This paper cites On representations distinguished by unitary groups.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations On representations distinguished by unitary groups

Reference 29

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This paper cites Flicker and Dmitrii Zinoviev.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Flicker and Dmitrii Zinoviev

Reference 30

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Observation b60b07d5-6ad5-413a-a86e-15d4d2eef630 · outbound

This paper cites Adjoint L-Values and Primes of Congruence for Hilbert Modular Forms.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Adjoint L-Values and Primes of Congruence for Hilbert Modular Forms

Reference 31

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Observation d63553b0-7cee-472e-9a46-f69393691b8b · outbound

This paper cites Whittaker rational structures and special values of the Asai $L$ -function.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Whittaker rational structures and special values of the Asai $L$ -function

Reference 32

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This paper cites Zeta Functions of Simple Algebras , volume 260 of Lecture Notes in Mathematics.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Zeta Functions of Simple Algebras , volume 260 of Lecture Notes in Mathematics

Reference 33

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Observation 28a8f03c-e743-4c1f-a0af-c0f692f64115 · outbound

This paper cites Lectures on Algebraic Geometry I.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Lectures on Algebraic Geometry I

Reference 34

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Reference 35

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

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations On the critical values of L -functions of GL(2) and GL(2) GL(2)

Reference 36

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This paper cites Automorphic induction and Leopoldt type conjectures for $ GL (n)$.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Automorphic induction and Leopoldt type conjectures for $ GL (n)$

Reference 37

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Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Unresolved cited work

Reference 38

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Observation cfc9b1ab-0ec9-4a03-89dd-595894ac1d2e · outbound

This paper cites The archimedean zeta integrals for GL(3) GL(2).

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations The archimedean zeta integrals for GL(3) GL(2)

Reference 39

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Observation 5d117e25-4f47-44ff-a501-8751ef6a7e54 · outbound

This paper cites Test vectors for Archimedean period integrals.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Test vectors for Archimedean period integrals

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:40.668311Z

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This paper cites On the rigid cohomology of certain Shimura varieties.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations On the rigid cohomology of certain Shimura varieties

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:40.649804Z

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Observation bdae6226-3854-4305-a323-7909be1fa234 · outbound

This paper cites A cohomological interpretation of archimedean zeta integrals for GL_3 GL_2.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations A cohomological interpretation of archimedean zeta integrals for GL_3 GL_2

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:40.621475Z

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Observation 8ddade56-485d-48d6-b768-b0034b8d7f27 · outbound

This paper cites Adjoint L-Functions for GL(3) and U(2,1).

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Adjoint L-Functions for GL(3) and U(2,1)

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:40.602999Z

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Observation a8868058-c564-485f-880b-dc73eb62fba1 · outbound

This paper cites Principal L -functions of the linear group.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Principal L -functions of the linear group

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:40.571517Z

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Observation 90d17eb3-0d8b-4af1-92da-b6672defbdb9 · outbound

This paper cites Factorization of period integrals.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Factorization of period integrals

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:40.549573Z

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Observation 1bd60901-39c6-4b36-8b56-fd604a66704b · outbound

This paper cites Kloosterman identities over a quadratic extension II.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Kloosterman identities over a quadratic extension II

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:40.528314Z

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Observation 26dab324-c791-4305-978e-6b6939f6a336 · outbound

This paper cites Distinction by the quasi-split unitary group.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Distinction by the quasi-split unitary group

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:40.508126Z

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Observation d8ac3403-2b23-4c9b-bd78-7459427f5130 · outbound

This paper cites The local period integrals and essential vectors.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations The local period integrals and essential vectors

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:40.489717Z

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Observation 53ea9495-8073-4720-82ff-ac77dd4aaeb0 · outbound

This paper cites Jacquet, I.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Jacquet, I

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:40.460163Z

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Observation bb17034a-a052-4397-95d3-9cde235fff3b · outbound

This paper cites Jacquet, I.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Jacquet, I

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:40.442741Z

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Observation 1f1b9ae4-c9e9-43e2-88dc-821941b64fa5 · outbound

This paper cites Jacquet and J.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Jacquet and J

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:40.425864Z

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Observation 07e6eb2d-1665-456c-a3f7-df4e4138c889 · outbound

This paper cites An introduction to Tate’s Thesis.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations An introduction to Tate’s Thesis

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:40.406642Z

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Observation c0c03acf-8ff7-42a4-9d9e-02a8dc75cace · outbound

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Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Unresolved cited work

Reference 53

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:22:40.383456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e8920ec5-cbae-4110-9a7b-b05032386bef · outbound

This paper cites Cohomology of arithmetic groups, parabolic subgroups and the special values of $L$ -functions on $GL_n$.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Cohomology of arithmetic groups, parabolic subgroups and the special values of $L$ -functions on $GL_n$

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:40.361724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9d6f6026-4a90-4a53-a33f-a258c3b3da14 · outbound

This paper cites Distinction and Asai L -functions for generic representations of general linear groups over p-adic fields.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Distinction and Asai L -functions for generic representations of general linear groups over p-adic fields

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:40.337298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9c2ec52a-ec71-4770-a0cb-2481ea9e59c0 · outbound

This paper cites Essential whittaker functions for gl(n).

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Essential whittaker functions for gl(n)

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:40.311003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ede8a2c3-b822-4475-afc8-5cc052ed01e5 · outbound

This paper cites Whittaker functions for generalized principal series representations of SL(3, R ).

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Whittaker functions for generalized principal series representations of SL(3, R )

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:40.290293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8b14d907-41c1-4696-8641-6c2e55a48b8b · outbound

This paper cites Whittaker functions associated to newforms for GL(n) over p -adic fields.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Whittaker functions associated to newforms for GL(n) over p -adic fields

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:40.268525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a722b9f0-0282-4115-863a-f061a537861f · outbound

This paper cites Endoscopic Classification of representations of Quasi-Split Unitary Groups , volume 235 of Memoirs of the American Mathematical Society.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Endoscopic Classification of representations of Quasi-Split Unitary Groups , volume 235 of Memoirs of the American Mathematical Society

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:40.246326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 18d5bc87-cacb-4c5c-89a2-339ed36aaf7b · outbound

This paper cites an unresolved cited work.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Unresolved cited work

Reference 60

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:22:40.225725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 26aaa511-76f1-4dce-a32c-ad5cef6ec6f9 · outbound

This paper cites On local root numbers and distinction.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations On local root numbers and distinction

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:40.209004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 559f952c-4e4a-4456-a1be-3dfdf6876a6a · outbound

This paper cites Rogawski.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Rogawski

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:40.185920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7a25f5a1-6390-47a8-bd24-d795ce531865 · outbound

This paper cites Raghuram and Freydoon Shahidi.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Raghuram and Freydoon Shahidi

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:40.165020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8aff6f93-267b-472c-a956-d280c1453695 · outbound

This paper cites On torsion in the cohomology of locally symmetric varieties.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations On torsion in the cohomology of locally symmetric varieties

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:40.142093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation df0f73cc-6878-4a40-b6e9-208dcee29c7a · outbound

This paper cites The special values of the zeta functions associated with cusp forms.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations The special values of the zeta functions associated with cusp forms

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:40.121023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9b59d674-6ada-4594-9858-5c8daf13db28 · outbound

This paper cites On an explicit formula for class-1 '' Whittaker functions'' on $GL_n$ over $ p$ -adic fields.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations On an explicit formula for class-1 '' Whittaker functions'' on $GL_n$ over $ p$ -adic fields

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:40.101105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 46cf75e2-d436-4717-8003-3f1e223c4fa3 · outbound

This paper cites Integral period relations and congruences.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Integral period relations and congruences

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:40.081448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bf00dd79-dfb1-4881-abe1-541aaf960b89 · outbound

This paper cites On the cohomology of $ GL (N)$ and adjoint Selmer groups.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations On the cohomology of $ GL (N)$ and adjoint Selmer groups

Reference 68

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:40.061901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4f4a6a92-93db-4c72-856e-1f30e41f955e · outbound

This paper cites Formes automorphes cuspidales pour GL_2 sur un corps quadratique imaginaire.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Formes automorphes cuspidales pour GL_2 sur un corps quadratique imaginaire

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:40.045047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b7f6fa4d-fee6-4f9f-8471-4794b5daad9f · outbound

This paper cites an unresolved cited work.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Unresolved cited work

Reference 70

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:22:40.026461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ff9cfe0d-b1ff-458d-af4d-ea72410d5c5d · outbound

This paper cites an unresolved cited work.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Unresolved cited work

Reference 71

Resolution: unresolved; raw_fallback, observed 2026-08-12T13:22:40.005600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 98823671-aa4e-4f64-b1ee-66f482e53cf9 · outbound

This paper cites Automorphic period and the central value of Rankin-Selberg L -function.

Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations Automorphic period and the central value of Rankin-Selberg L -function

Reference 72

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T13:22:39.986753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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