• Title/Summary/Keyword: q-analogues of the Dirichlet series and q-L-series

Search Result 1, Processing Time 0.016 seconds

ON q-ANALGUE OF THE TWISTED L-FUNCTIONS AND q-TWISTED BERNOULLI NUMBERS

  • Simsek, Yilmaz
    • Journal of the Korean Mathematical Society
    • /
    • v.40 no.6
    • /
    • pp.963-975
    • /
    • 2003
  • 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 $L_{q}(1-n,\;X,\;{\xi})$ is also given explicitly.