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

3 Citations (Scopus)

421 Downloads (Pure)

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

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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