A strengthening of the GL(2) converse theorem

AR Booker; M Krishnamurthy

doi:10.1112/S0010437X10005087

A strengthening of the GL(2) converse theorem

AR Booker
, M Krishnamurthy

Research output: Contribution to journal › Article (Academic Journal) › peer-review

12 Citations (Scopus)

Abstract

We generalize the method of A. R. Booker (Poles of Artin L-functions and the strong Artin conjecture, Ann. of Math. (2) 158 (2003), 1089–1098; MR 2031863(2004k:11082)) to prove a version of the converse theorem of Jacquet and Langlands with relaxed conditions on the twists by ramified idèle class characters.

Translated title of the contribution	A strengthening of the GL(2) converse theorem
Original language	English
Pages (from-to)	669 - 715
Number of pages	47
Journal	Compositio Mathematica
Volume	147
Issue number	3
Early online date	7 Feb 2011
DOIs	https://doi.org/10.1112/S0010437X10005087
Publication status	Published - May 2011

Bibliographical note

Publisher: Cambridge Univ Press

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10.1112/S0010437X10005087

http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8276917

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Explicit number theory, automorphic forms and L-functions
Booker, A. R. (Principal Investigator)
1/10/09 → 1/04/15
Project: Research

Cite this

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abstract = "We generalize the method of A. R. Booker (Poles of Artin L-functions and the strong Artin conjecture, Ann. of Math. (2) 158 (2003), 1089–1098; MR 2031863(2004k:11082)) to prove a version of the converse theorem of Jacquet and Langlands with relaxed conditions on the twists by ramified id{\`e}le class characters.",

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AB - We generalize the method of A. R. Booker (Poles of Artin L-functions and the strong Artin conjecture, Ann. of Math. (2) 158 (2003), 1089–1098; MR 2031863(2004k:11082)) to prove a version of the converse theorem of Jacquet and Langlands with relaxed conditions on the twists by ramified idèle class characters.

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DO - 10.1112/S0010437X10005087

M3 - Article (Academic Journal)

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EP - 715

JO - Compositio Mathematica

JF - Compositio Mathematica

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A strengthening of the GL(2) converse theorem

Abstract

Bibliographical note

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Projects

Explicit number theory, automorphic forms and L-functions

Cite this