$p$-adic monomial equations and their perturbations

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Abstract

In this paper, we describe the set of solutionsof the monomial equation $x^k=a$ over $\mathbb Q_p$. Moreover, asan application, we study some perturbations of the equation under consideration over the $p$-adic field.

About the authors

Farrukh Maksutovich Mukhamedov

United Arab Emirates University

Email: far75m@yandex.com
Doctor of physico-mathematical sciences, Professor

Otabek Norbutaugli Khakimov

United Arab Emirates University

Email: hakimovo@mail.ru
Doctor of physico-mathematical sciences, Associate professor

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Copyright (c) 2020 Mukhamedov F.M., Khakimov O.N.

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