Riesz means of certain arithmetic functions

被引：1

作者：

Duke, William ^{[1
]}

Ha Nam Nguyen ^{[2
]}

机构：

[1] UCLA, Math Dept, Box 951555, Los Angeles, CA 90095 USA

[2] LACC Math Dept, 855 N Vermont Ave, Los Angeles, CA 90029 USA

来源：

JOURNAL OF NUMBER THEORY | 2020年 / 210卷

关键词：

Dirichlet L-functions; Arithmetic; functions; Class number formulas; q-additive;

D O I：

10.1016/j.jnt.2019.10.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give examples of completely multiplicative arithmetic functions that assume only the values +/- 1 and that have bounded first Cesaro means. The method of proof also yields some interesting identities involving special values of Dirichlet L-functions. In particular, we present some new class number formulas for quadratic fields. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：132 / 141

页数：10

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