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학술저널

ON THE EXISTENCE OF p-ADIC ROOTS

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In this paper, we give the condition for the existence of the q-th roots of p-adic numbers in Q p with an integer q ≥ 2 and (p, q) = 1. We have the conditions for the existence of the fifth root and the seventh root of p-adic numbers in Q p , respectively.

1. Introduction

2. Preliminaries

3. p-Adic roots

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