Toroidal families and averages of L-functions, I

被引：0
|
作者：
Fouvry, Etienne [1 ]
Kowalski, Emmanuel [2 ]
Michel, Philippe [3 ]
机构：
[1] Univ Paris Saclay, CNRS, Lab Math Orsay, F-91405 Orsay, France
[2] Swiss Fed Inst Technol, DMATH, CH-8092 Zurich, Switzerland
[3] Ecole Polytech Fed Lausanne, TAN, Stn 8, SB, CH-1015 Lausanne, Switzerland
来源：
ACTA ARITHMETICA | 2024年 / 214卷
关键词：
L-functions; toroidal family; Dirichlet characters; exponential sums over finite fields; toric congruences; moments of L-functions; EXPONENTIAL-SUMS; BILINEAR-FORMS; MOMENTS; VALUES; STRATIFICATION; TWISTS; NUMBER;
D O I：
10.4064/aa230323-24-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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, chi(a))L(1/2, chi(b)) for arbitrary integers a and b when chi varies over Dirichlet characters of a given prime modulus.
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页码：109 / 142
页数：34
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