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On the two-variable Dirichlet q-L-series

Number Theory 2007-05-23 v1

Abstract

In this study, we construct the two-variable multiple Dirichlet q-L-function and two-variable multiple Dirichlet type Changhee q-L-function. These functions interpolate the q-Bernoulli polynomials and generalized Changhee q-Bernoulli polynomials. By using the Mellin transformation, we give an integral representation for the two-variable multiple Dirichlet type q-zeta function and the two variable multiple Dirichlet type Changhee q-L-function.

Keywords

Cite

@article{arxiv.math/0511323,
  title  = {On the two-variable Dirichlet q-L-series},
  author = {Y. Simsek and Daeyeoul Kim and Seog-Hoon Rim},
  journal= {arXiv preprint arXiv:math/0511323},
  year   = {2007}
}

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14 pages