Russian Journal of Mathematical Physics

, Volume 13, Issue 3, pp 340–348 | Cite as

On p-adic twisted q-L-functions related to generalized twisted Bernoulli numbers

  • Y. Simsek
Article

Abstract

In this paper, we construct a twisted q-partial zeta function and some twisted two-variable q-L-functions that interpolate q-Bernoulli numbers, βn,ξ(h)(q), and Bernoulli polynomials, βn,x,ξ(h)(x, q), respectively, at negative integers. Using these functions, we prove the existence of a p-adic interpolation function that interpolates the q-generalized polynomials βn,x,ξ(h)(x, q) at negative integers. Consequently, we define a p-adic twisted q-L-function which is a solution of a question of Kim et al.

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Copyright information

© MAIK “Nauka/Interperiodica” 2006

Authors and Affiliations

  • Y. Simsek
    • 1
  1. 1.Department of Mathematics, Faculty of Art and ScienceAkdeniz UniversityAntalyaTurkey

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