q-EULER NUMBERS AND POLYNOMIALS ASSOCIATED WITH BASIC ZETA FUNCTIONS
نویسنده
چکیده
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. The p-adic absolute value in Cp is normalized so that |p|p = 1 p . When one talks of q-extension, q is variously considered as an indeterminate, a complex number q ∈ C or a p-adic number q ∈ Cp. If q ∈ C, then we normally assume |q| < 1, and when q ∈ Cp, then we normally assume |q − 1|p < 1. We use the notation :
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