A converse theorem for GL(n)

Andrew R. Booker; M. Krishnamurthy

doi:10.1016/j.aim.2016.03.041

A converse theorem for GL(n)

Andrew R. Booker^*, M. Krishnamurthy

^*Corresponding author for this work

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

2 Citations (Scopus)

281 Downloads (Pure)

Abstract

We complete the work of Cogdell and Piatetski-Shapiro [3] to prove, for n≥3, a converse theorem for automorphic representations of GL_n over a number field, with analytic data from twists by unramified representations of GL_n-1.

Original language	English
Pages (from-to)	154-180
Number of pages	27
Journal	Advances in Mathematics
Volume	296
Early online date	18 Apr 2016
DOIs	https://doi.org/10.1016/j.aim.2016.03.041
Publication status	Published - 25 Jun 2016

Keywords

Automorphic forms
Converse theorems

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This is the author accepted manuscript (AAM). The final published version (version of record) is available online via Elsevier at 10.1016/j.aim.2016.03.041.
Accepted author manuscript, 399 KBLicence: CC BY-NC-ND

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title = "A converse theorem for GL(n)",

abstract = "We complete the work of Cogdell and Piatetski-Shapiro [3] to prove, for n≥3, a converse theorem for automorphic representations of GLn over a number field, with analytic data from twists by unramified representations of GLn-1.",

keywords = "Automorphic forms, Converse theorems",

author = "Booker, {Andrew R.} and M. Krishnamurthy",

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AU - Krishnamurthy, M.

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AB - We complete the work of Cogdell and Piatetski-Shapiro [3] to prove, for n≥3, a converse theorem for automorphic representations of GLn over a number field, with analytic data from twists by unramified representations of GLn-1.

KW - Automorphic forms

KW - Converse theorems

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U2 - 10.1016/j.aim.2016.03.041

DO - 10.1016/j.aim.2016.03.041

M3 - Article (Academic Journal)

AN - SCOPUS:84964204547

SN - 0001-8708

VL - 296

SP - 154

EP - 180

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

A converse theorem for GL(n)

Abstract

Keywords

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Detecting squarefree numbers

Explicit number theory, automorphic forms and L-functions

Professor Andrew R Booker

Cite this

A converse theorem for GL(n)

Abstract

Keywords

Access to Document

Handle.net

Other files and links

Fingerprint

Projects

Detecting squarefree numbers

Explicit number theory, automorphic forms and L-functions

Profiles

Professor Andrew R Booker

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