Toroidal families and averages of L-functions, I
2024
Abstract
We initiate the study of certain families of L-functions attached to characters of subgroups of higher-rank tori, and of their average at the central point. In particular, we evaluate the average of the values L( 2 1 , chi a )L( 21 , chi b ) for arbitrary integers a and b when chi varies over Dirichlet characters of a given prime modulus.
Details
Title
Toroidal families and averages of L-functions, I
Author(s)
Fouvry, Etienne ; Kowalski, Emmanuel ; Michel, Philippe
Published in
Acta Arithmetica
Date
2024-06-17
Publisher
Warszawa, Polish Acad Sciences Inst Mathematics-Impan
ISSN
0065-1036
1730-6264
1730-6264
Keywords
Other identifier(s)
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Laboratories
TAN
Record Appears in
Scientific production and competences > SB - School of Basic Sciences > MATH - Institute of Mathematics > TAN - Chair of analytic number theory
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2024-07-03