Hurwitz zeta functions and Ramanujan's identity for odd zeta values

被引：1
|
作者：
Chavan, Parth [1 ]
机构：
[1] Euler Circle, Palo Alto, CA 94306 USA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 527卷 / 02期
关键词：
Hurwitz zeta function; Ramanujan's formula for odd zeta; values; Dirichlet series;
D O I：
10.1016/j.jmaa.2023.127524
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Inspired by a famous formula of Ramanujan for odd zeta values, we prove an analogous formula involving the Hurwitz zeta function. We introduce a new integral kernel related to the Hurwitz zeta function, generalizing that associated to Ramanujan's identity. We also derive several infinite families of identities analogous to Ramanujan's formula. & COPY; 2023 Elsevier Inc. All rights reserved.
引用
收藏
页数：20
相关论文
共 50 条
12345