Further refinements of the GL(2) converse theorem (vol 45, pg 987, 2013)

Andrew R Booker; M Krishnamurthy

doi:10.1112/blms/bdv038

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Further refinements of the GL(2) converse theorem (vol 45, pg 987, 2013)

Journal article

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Further refinements of the GL(2) converse theorem (vol 45, pg 987, 2013)

Andrew R Booker and M Krishnamurthy

The Bulletin of the London Mathematical Society, Vol.47, pp.675-676

08/01/2015

DOI: 10.1112/blms/bdv038

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Abstract

Lemma 2.4 of [1] is true, but its proof is not correct in all cases. Precisely, in the proof we defined an n x (n + 1) real matrix M and a vector x(.). is an element of Rn+1 associated to an id`ele class character., and claimed that Mx(.). is an element of Q(n). However, that need not be the case if the number field F is not totally real. To correct for this, we define b(.) = (b(1),..., b(n)), where

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Details

Title: Subtitle: Further refinements of the GL(2) converse theorem (vol 45, pg 987, 2013)
Creators: Andrew R Booker - University of Bristol
M Krishnamurthy - University of Iowa
Resource Type: Journal article
Publication Details: The Bulletin of the London Mathematical Society, Vol.47, pp.675-676
DOI: 10.1112/blms/bdv038
ISSN: 0024-6093
eISSN: 1469-2120
Publisher: OXFORD UNIV PRESS
Number of pages: 2
Language: English
Date published: 08/01/2015
Academic Unit: Mathematics
Record Identifier: 9984240877202771

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