Character Gamma Functions and Evaluation of Series with Dirichlet L-Value Coefficients

CAN M.

LITHUANIAN MATHEMATICAL JOURNAL, cilt.61, sa.2, ss.180-198, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 61 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s10986-021-09507-y
  • Dergi Adı: LITHUANIAN MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH, DIALNET
  • Sayfa Sayıları: ss.180-198
  • Anahtar Kelimeler: Dirichlet L-function, gamma function, multiplication formula, Bernoulli and Euler polynomials, Euler-MacLaurin formula
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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.