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On a q-analogue of the p-adic generalized twisted L-functions and p-adic q-integrals

Research paper by Lee-Chae Jang

Indexed on: 19 Nov '05Published on: 19 Nov '05Published in: Mathematics - Number Theory



Abstract

The purpose of this paper is to define generalized twisted q-Bernoulli numbers by using p-adic q-integrals. Furthermore, we construct a q-analogue of the p-adic generalized twisted L-functions which interpolate generalized twisted q-Bernoulli numbers. This is the generalization of Kim's h-extension of p-adic q-L-function which was constructed in [5] and is a partial answer for the open question which was remained in [3]