Multiple two-variable p-adic q-L-function and its behavior at s = 0
- 7 December 2008
- journal article
- Published by Pleiades Publishing Ltd in Russian Journal of Mathematical Physics
- Vol. 15 (4) , 447-459
- https://doi.org/10.1134/s106192080804002x
Abstract
The objective of this paper is to construct a multiple p-adic q-L-function of two variables which interpolates multiple generalized q-Bernoulli polynomials. By using this function, we solve a question of Kim and Cho. We also define a multiple partial q-zeta function which is related to the multiple q-L-function of two variables. Finally, we give a finite-sum representation of the multiple p-adic q-L-function of two variables and prove a multiple q-extension of the generalized formula of Diamond and Ferrero-Greenberg.Keywords
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