On the Values of q-Analogue of Zeta and L-Functions, I

• 来源期刊: 代数集刊（英文版）
• 关键词: Bernoulli number p-adic L-function p-adic q-integral
• 年，卷（期）: 2002,（2）
• 页码范围: 233-240
• 页数: 8页
• 语种: 英文

摘要

The second author has shown that Carlitz's q-Bernoulli numbers can be represented as an integral by the q-analogue of the ordinary p-adic invariant measure (see [1-4]). In this paper, we consider the p-adic q-L-function which can be given an explicit p-adic expansion of np∑j=1(j,p)=1 [j]-r as a power series in n.