两类无穷级数的Bernoulli数表示(英文)

作者:郭东威*; 陈玉磊
来源:数学季刊, 2022, 37(01): 79-87.
DOI:10.13371/j.cnki.chin.q.j.m.2022.01.008

摘要

In this paper, the expressions of two classes of infinite series in terms of finite series involving Bernoulli numbers are obtained. As applications, we derive some special series including Dirichlet beta function β(s) with argument 2 n + 1 and Dirichlet lambda function λ(s) with argument 2 n. In addition, we solve the problem proposed recently by Zhou(2021).

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