Weil's converse theorem with poles

AR Booker; M Krishnamurthy

doi:10.1093/imrn/rnt127

Weil's converse theorem with poles

AR Booker, M Krishnamurthy

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Abstract

We prove a generalization of the classical converse theorem of Weil, allowing the twists by non-trivial Dirichlet characters to have arbitrary poles.

Translated title of the contribution	Weil's converse theorem with poles
Original language	English
Pages (from-to)	5328–5339
Number of pages	10
Journal	International Mathematics Research Notices
Volume	2014
Issue number	19
Early online date	24 Jun 2013
DOIs	https://doi.org/10.1093/imrn/rnt127
Publication status	Published - 2013

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10.1093/imrn/rnt127

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This is a pre-copyedited, author-produced PDF of an article accepted for publication in International Mathematical research Notices following peer review. The version of record Int Math Res Notices (2014) 2014 (19): 5328-5339. is available online at:http://imrn.oxfordjournals.org/content/2014/19/5328
Accepted author manuscript, 253 KB

http://imrn.oxfordjournals.org/content/early/2013/06/24/imrn.rnt127

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

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title = "Weil's converse theorem with poles",

abstract = "We prove a generalization of the classical converse theorem of Weil, allowing the twists by non-trivial Dirichlet characters to have arbitrary poles.",

author = "AR Booker and M Krishnamurthy",

year = "2013",

doi = "10.1093/imrn/rnt127",

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pages = " 5328–5339",

journal = "International Mathematics Research Notices",

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AU - Booker, AR

AU - Krishnamurthy, M

PY - 2013

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N2 - We prove a generalization of the classical converse theorem of Weil, allowing the twists by non-trivial Dirichlet characters to have arbitrary poles.

AB - We prove a generalization of the classical converse theorem of Weil, allowing the twists by non-trivial Dirichlet characters to have arbitrary poles.

U2 - 10.1093/imrn/rnt127

DO - 10.1093/imrn/rnt127

M3 - Article (Academic Journal)

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SP - 5328

EP - 5339

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

SN - 1073-7928

IS - 19

ER -

Weil's converse theorem with poles

Abstract

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Explicit number theory, automorphic forms and L-functions

Cite this