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Journal article

The base change L-function for modular forms and Beyond Endoscopy

Abstract:
Following ideas of Langlands and Sarnak on Beyond Endoscopy, we introduce a method to study the base change L-function of a modular form via the trace formula. We complete the analysis in the case of quadratic base change for real fields, to deduce a new proof of the analytic continuation of the base change L-function to the left of the line R(s)=1. © 2014 Elsevier Inc.
Publication status:
Published

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Publisher copy:
10.1016/j.jnt.2014.01.006

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Journal:
JOURNAL OF NUMBER THEORY More from this journal
Volume:
140
Pages:
13-37
Publication date:
2014-07-01
DOI:
ISSN:
0022-314X
Language:
English
Keywords:
Pubs id:
pubs:398516
UUID:
uuid:1df21a5a-cad7-416e-a8a1-e8d766ad97d4
Local pid:
pubs:398516
Source identifiers:
398516
Deposit date:
2014-05-09

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