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

2005/11/19 by Lee-Chae Jang, Jang, Lee-Chae
Mathematics · #11B68 #11S80 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11B68 #msc:11S80

paper · pdf · doi:10.48550/arxiv.math/0511484

12 pages

arxiv created 2005/11/19 · arxiv updated 2009/12/01

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]

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