Mathematics – Quantum Algebra
Scientific paper
2005-02-03
Mathematics
Quantum Algebra
20 pages
Scientific paper
We construct the two-variable $p$-adic $q$-$L$-function which interpolates the generalized $q$-Bernoulli polynomials associated with primitive Dirichlet character $\chi$. 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.
No associations
LandOfFree
On the q-analogue of two-variable p-adic L-function does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On the q-analogue of two-variable p-adic L-function, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the q-analogue of two-variable p-adic L-function will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-177400