Further refinements of the GL(2) converse theorem

Andrew R Booker; M Krishnamurthy

doi:10.1112/blms/bdt031

Further refinements of the GL(2) converse theorem

Andrew R Booker, M Krishnamurthy

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

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Abstract

We improve the results of Booker and Krishnamurthy (Compos. Math. 147 (2011) 669–715) by allowing restricted sets of poles among the unramified twists. This allows for a clean statement of the GL(2) converse theorem which includes all cases of Eisenstein series.

Original language	English
Pages (from-to)	987-1003
Number of pages	17
Journal	Bulletin of the London Mathematical Society
Volume	45
Issue number	5
Early online date	15 May 2013
DOIs	https://doi.org/10.1112/blms/bdt031
Publication status	Published - Oct 2013

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http://blms.oxfordjournals.org/content/45/5/987

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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

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title = "Further refinements of the GL(2) converse theorem",

abstract = "We improve the results of Booker and Krishnamurthy (Compos. Math. 147 (2011) 669–715) by allowing restricted sets of poles among the unramified twists. This allows for a clean statement of the GL(2) converse theorem which includes all cases of Eisenstein series.",

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AB - We improve the results of Booker and Krishnamurthy (Compos. Math. 147 (2011) 669–715) by allowing restricted sets of poles among the unramified twists. This allows for a clean statement of the GL(2) converse theorem which includes all cases of Eisenstein series.

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DO - 10.1112/blms/bdt031

M3 - Article (Academic Journal)

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JO - Bulletin of the London Mathematical Society

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Further refinements of the GL(2) converse theorem

Abstract

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Projects

Explicit number theory, automorphic forms and L-functions

Cite this