A remark on a converse theorem of Cogdell and Piatetski-Shapiro
-
Hervé Jacquet
Abstract
In this paper, we reprove a global converse theorem of Cogdell and Piatetski-Shapiro using purely global methods.
Funding source: National Science Foundation
Award Identifier / Grant number: DMS-1620329
Award Identifier / Grant number: DMS-1702218
Funding statement: The second mentioned author was partially supported by NSF grants DMS-1620329, DMS-1702218, and start-up funds from the Department of Mathematics at Purdue University.
Acknowledgements
The second mentioned author would like to thank James Cogdell for helpful conversation on their previous results when he was visiting Ohio State University. The authors also would like to thank him for helpful comments and suggestions on an earlier version of the paper. This material is based upon work supported by the National Science Foundation under agreement No. DMS-1128155. Any opinions, findings and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation. We also would like to thank the referee for a very careful reading of the paper and for many helpful comments and suggestions.
References
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J. W. Cogdell,
L-functions and converse theorems for
[2]
J. W. Cogdell and I. I. Piatetski-Shapiro,
Converse theorems for
[3]
J. W. Cogdell and I. I. Piatetski-Shapiro,
A converse theorem for
[4]
J. W. Cogdell and I. I. Piatetski-Shapiro,
Converse theorems for
[5]
H. Jacquet and R. P. Langlands,
Automorphic forms on
[6]
H. Jacquet, I. I. Piatetski-Shapiro and J. Shalika,
Automorphic forms on
[7]
H. Jacquet, I. I. Piatetski-Shapiro and J. Shalika,
Automorphic forms on
[8]
I. Piatetski-Shapiro,
Zeta functions of
© 2021 Walter de Gruyter GmbH, Berlin/Boston
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Articles in the same Issue
- Frontmatter
- Probabilistic Schubert calculus
- On cohomological Hall algebras of quivers: Generators
- Intersections of two Grassmannians in ℙ9
- Erratum to Tropical mirror symmetry for elliptic curves (J. reine angew. Math. 732 (2017), 211–246)
- Erratum to A parabolic flow toward solutions of the optimal transportation problem on domains with boundary (J. reine angew. Math. 672 (2012), 127–160)
- Maximal time existence of unnormalized conical Kähler–Ricci flow
- A remark on a converse theorem of Cogdell and Piatetski-Shapiro
- Undistorted purely pseudo-Anosov groups
- Dendroidal spaces, Γ-spaces and the special Barratt--Priddy--Quillen theorem
- On local integration of Lie brackets
