On p-adic twisted q-L-functions related to generalized twisted Bernoulli numbers
- 1 July 2006
- journal article
- Published by Pleiades Publishing Ltd in Russian Journal of Mathematical Physics
- Vol. 13 (3) , 340-348
- https://doi.org/10.1134/s1061920806030095
Abstract
In this paper, we construct a twisted q-partial zeta function and some twisted two-variable q-L-functions that interpolate q-Bernoulli numbers, β n,ξ (h) (q), and Bernoulli polynomials, β n,x,ξ (h) (x, q), respectively, at negative integers. Using these functions, we prove the existence of a p-adic interpolation function that interpolates the q-generalized polynomials β n,x,ξ (h) (x, q) at negative integers. Consequently, we define a p-adic twisted q-L-function which is a solution of a question of Kim et al.Keywords
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