On q-analgue of the twisted L-functions and q-twisted Bernoulli numbers

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ŞİMŞEK Y.

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, vol.40, no.6, pp.963-975, 2003 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 6
  • Publication Date: 2003
  • Doi Number: 10.4134/jkms.2003.40.6.963
  • Journal Name: JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.963-975
  • Keywords: Dirichlet L-functions, twisted L-functions, Hurwitz zeta function, generalized Bernoulli numbers and polynomials, q-analogues of the Dirichlet series and q-L-series, q-Bernoulli numbers, Q-ANALOGUE
  • Akdeniz University Affiliated: No

Abstract

The aim of this work is to construct twisted q-L-series which interpolate twisted q-generalized Bernoulli numbers. By using generating function of q-Bernoulli numbers, twisted q-Bernoulli numbers and polynomials are defined. Some properties of this polynomials and numbers are described. The numbers L-q (1 - n, chi, xi) is also given explicitly.