Character Gamma Functions and Evaluation of Series with Dirichlet L-Value Coefficients
LITHUANIAN MATHEMATICAL JOURNAL, vol.61, no.2, pp.180-198, 2021 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 61 Issue: 2
- Publication Date: 2021
- Doi Number: 10.1007/s10986-021-09507-y
- Journal Name: LITHUANIAN MATHEMATICAL JOURNAL
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH, DIALNET
- Page Numbers: pp.180-198
- Keywords: Dirichlet L-function, gamma function, multiplication formula, Bernoulli and Euler polynomials, Euler-MacLaurin formula
- Akdeniz University Affiliated: Yes
Abstract
In this paper, we demonstrate a character analogue of the Lerch formula and multiplication formulas for the Dirichlet L-functions. These formulas produce multiplication formulas for the character gamma functions and related polynomials. Moreover, we establish closed-form evaluation formulas for the power series with Dirichlet L-value coefficients.