A Note on the q-Euler Measures
نویسندگان
چکیده
Let p be a fixed prime number. 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. Let vp be the normalized exponential valuation of Cp with |p|p p−vp p 1/p. When one talks of q-extension, q is variously considered as an indeterminate, a complex number q ∈ C or p-adic numbers q ∈ Cp. If q ∈ C, one normally assumes |q| < 1. If q ∈ Cp, one normally assumes |1 − q|p < 1. In this paper, we use the notations of q-number as follows see 1–37 :
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