AN EXPONENTIALLY-AVERAGED VASYUNIN FORMULA

被引：3

作者：

Darses, Sebastien ^{[1
]}

Hillion, Erwan ^{[1
]}

机构：

[1] Aix Marseille Univ, I2M, Cent Marseille, CNRS, Marseille, France

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2021年 / 149卷 / 07期

关键词：

D O I：

10.1090/proc/15422

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a Vasyunin-type formula for an autocorrelation function arising from a Nyman-Beurling criterion generalized to a probabilistic framework. This formula can also be seen as a reciprocity formula for cotangent sums, related to the ones proven by Bettin and Conrey [Int. Math. Res. Not. IMRN 24 (2013), pp. 5709-5726] and Auli, Bayad, and Beck [Acta Arith. 181 (2017), pp. 297-319].

引用

页码：2969 / 2982

页数：14

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