On the q-analogue of two-variable p-adic L-function
| dc.creator | Kim, Taekyun | |
| dc.date | 2005-02-03 | |
| dc.date.accessioned | 2026-07-07T05:16:38Z | |
| dc.date.available | 2026-07-07T05:16:38Z | |
| dc.description | We construct the two-variable $p$-adic $q$-$L$-function which interpolates the generalized $q$-Bernoulli polynomials associated with primitive Dirichlet character $χ$. Indeed, this function is the $q$-extension of two-variable $p$-adic $L$-function due to Fox, corresponding to the case $q=1 .$ Finally, we give some $p$-adic integral representation for this two-variable $p$-adic $q$-$L$-function and derive to $q$-extension of the generalized formula of Diamond and Ferro and Greenberg for the two-variable $p$-adic $L$-function in terms of the $p$-adic gamma and $\log$ gamma function. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0502063 | |
| dc.identifier | http://arxiv.org/abs/math/0502063 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74062 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Number Theory | |
| dc.subject | 11S80, 11B68, 11M99 | |
| dc.title | On the q-analogue of two-variable p-adic L-function | |
| dc.type | text |