A note on multiple Dirichlet's q-L--function

Taekyun Kim

A note on multiple Dirichlet's q-L--function

Number Theory 2007-05-23 v1

Authors: Taekyun Kim

Abstract

Recently, the two variable $q$ - $L$ -functions which interpolate the generalized $q$ -Bernoulli polynomials associated with $\chi$ are introduced and studied, cf. [2]. In this paper, we construct multiple Dirichlet's $q$ - $L$ -function which interpolates the generalized multiple $q$ -Bernoulli numbers attached to $\chi$ at negative integer and study its properties.

Keywords

dirichlet characters q-series and q-analogues eulerian polynomials and bernoulli numbers

Cite

@article{arxiv.math/0506169,
  title  = {A note on multiple Dirichlet's q-L--function},
  author = {Taekyun Kim},
  journal= {arXiv preprint arXiv:math/0506169},
  year   = {2007}
}

Comments

5 pages

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