ON EXPLICIT FORMULAS OF p-ADIC q-L-FUNCTIONS
نویسندگان
چکیده
منابع مشابه
On p-adic q-L-functions and sums of powers
Let p be a fixed prime. Throughout this paper Zp, Qp, C and Cp will, respectively, denote the ring of p-adic rational integers, the field of p-adic rational numbers, the complex number field and the completion of algebraic closure of Qp, cf.[1, 4, 6, 10]. Let vp be the normalized exponential valuation of Cp with |p|p = p −vp(p) = p. When one talks of q-extension, q is variously considered as an...
متن کاملOn p-adic Twisted Euler (h, q)-l-Functions
In the recent paper, Kim-Rim have studied interesting twisted q-Euler numbers and polynomials. In [8], Kim-Rim suggested the question to find a q-analogue of the p-adic twisted (h, q)-l-function which interpolates generalized twisted (h, q)-Euler numbers attached to χ. This question is remained open. The purpose of this paper is to give the answer of the question.
متن کاملON 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 کاملOn p-adic Artin L-functions II
Let p be a prime. Iwasawa’s famous conjecture relating Kubota-Leopoldt p-adic L-functions to the structure of certain Galois groups has been proven by Mazur and Wiles in [10]. Wiles later proved a far-reaching generalization involving p-adic L-functions for Hecke characters of finite order for a totally real number field in [14]. As we discussed in [5], an analogue of Iwasawa’s conjecture for p...
متن کاملOn Multiple Twisted p-adic q-Euler -Functions and l-Functions
are known as the first kind Euler numbers cf. 1 . From the generating function of the first kind Euler numbers, we note that E0 1 and En − ∑n k 0 n k Ek for n ∈ N. The first few are 1,−1/2, 0, 1/4,−1/2, . . . and E2k 0 for k ∈ N. Those numbers play an important role in number theory. For example, the Euler zeta-function essentially equals an Euler numbers at nonpositive integer: ζE −m Em for m ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Kyushu Journal of Mathematics
سال: 1994
ISSN: 1340-6116
DOI: 10.2206/kyushujm.48.73