Article ID Journal Published Year Pages File Type
4594209 Journal of Number Theory 2013 4 Pages PDF
Abstract

In this paper we provide a solvability criterion for the monomial equation xq=a over Qp for any natural number q. As an application of the result, we describe a relationship between q and p in which the number −1 is the q-th power of some p-adic number.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory