Evaluations of multiple Dirichlet L-values via symmetric functions

JOURNAL OF NUMBER THEORY

卷:129

Article

Yamasaki, Yoshinori

关键词: Multiple L-values;    Multiple q-L-values;    Central limit values;    Dirichlet L-functions;    Bernoulli numbers;    Euler numbers;    Symmetric functions;   

DOI  :  10.1016/j.jnt.2009.04.011

来源: Elsevier

【 摘 要 】

We explicitly evaluate a special type of multiple Dirichlet L-values at positive integers in two different ways: One approach involves using of symmetric functions, while the other involves using of a generating function of the values. Equating these two expressions, we derive several summation formulae involving the Bernoulli and Euler numbers. Moreover, values at non-positive integers, called central limit values, are also studied. (c) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free