ON THE q-ANALOGUE OF TWO-VARIABLE p-ADIC L-FUNCTION
نویسندگان
چکیده
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. §
منابع مشابه
ON A q-ANALOGUE OF THE p-ADIC GENERALIZED TWISTED L-FUNCTIONS AND p-ADIC q-INTEGRALS
The purpose of this paper is to define generalized twisted q-Bernoulli numbers by using padic 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 ...
متن کاملPositive-additive functional equations in non-Archimedean $C^*$-algebras
Hensel [K. Hensel, Deutsch. Math. Verein, {6} (1897), 83-88.] discovered the $p$-adic number as a number theoretical analogue of power series in complex analysis. Fix a prime number $p$. for any nonzero rational number $x$, there exists a unique integer $n_x inmathbb{Z}$ such that $x = frac{a}{b}p^{n_x}$, where $a$ and $b$ are integers not divisible by $p$. Then $|x...
متن کاملp-adic Shearlets
The field $Q_{p}$ of $p$-adic numbers is defined as the completion of the field of the rational numbers $Q$ with respect to the $p$-adic norm $|.|_{p}$. In this paper, we study the continuous and discrete $p-$adic shearlet systems on $L^{2}(Q_{p}^{2})$. We also suggest discrete $p-$adic shearlet frames. Several examples are provided.
متن کاملOn Interpolation Functions of the Generalized Twisted (h,q)-Euler Polynomials
The aim of this paper is to construct p-adic twisted two-variable Eulerh,q -L-functions, which interpolate generalized twisted h,q -Euler polynomials at negative integers. In this paper, we treat twisted h,q -Euler numbers and polynomials associated with p-adic invariant integral on Zp. We will construct two-variable twisted h,q -Euler-zeta function and two-variable h,q -L-function in Complex s...
متن کامل$p$-adic Dual Shearlet Frames
We introduced the continuous and discrete $p$-adic shearlet systems. We restrict ourselves to a brief description of the $p$-adic theory and shearlets in real case. Using the group $G_p$ consist of all $p$-adic numbers that all of its elements have a square root, we defined the continuous $p$-adic shearlet system associated with $L^2left(Q_p^{2}right)$. The discrete $p$-adic shearlet frames for...
متن کامل