Euler Numbers and Polynomials Associated with Zeta Functions
نویسنده
چکیده
Throughout this paper Z, Q, C, Zp, Qp and Cp will respectively denote the ring of rational integers, the field of rational numbers, the filed of complex numbers, the ring p-adic rational integers, the field of p-adic rational numbers, and the completion of the algebraic closure of Qp. Let vp be the normalized exponential valuation of Cp such that |p|p = p −vp(p) = p. If q ∈ Cp, we normally assume |q − 1|p < 1. We use the notation [x]q = 1− q 1− q , and [x]−q = 1− (−q) 1 + q .
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