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

Simsek Y.

RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, cilt.13, sa.3, ss.340-348, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 3
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1134/s1061920806030095
  • Dergi Adı: RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.340-348
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, we construct a twisted q-partial zeta function and some twisted two-variable q-L-functions that interpolate q-Bernoulli numbers, beta((h))(n,xi) (q), and Bernoulli polynomials, beta((h))(n,chi,xi) (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 beta((h))(n,chi,xi) (x, q) at negative integers. Consequently, we de. ne a p-adic twisted q-L-function which is a solution of a question of Kim et al.