Toroidal families and averages of L-functions, I
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Date
2024
Publication Type
Journal Article
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yes
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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(1/2 , χᵃ)L(1/2 , χᵇ) for arbitrary integers a and b when χ varies over Dirichlet characters of a given prime modulus.
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published
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Journal / series
Volume
214
Pages / Article No.
109 - 142
Publisher
Instytut Matematyczny Polskiej Akademii Nauk
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Edition / version
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Subject
L-functions; toroidal family; Dirichlet characters; exponential sums over finite fields; toric congruences; moments of L-functions
Organisational unit
03796 - Kowalski, Emmanuel / Kowalski, Emmanuel
Notes
The full text has been removed because it was mistakenly published under a Creative Commons license.