$P$-adic monomial equations and their perturbation

Abstract

In this paper, we describe the set of all solutions of monomial equation $x^k=a$ over ${\mathbb{Q}}_p$. Moreover, as an application of the result, we study several perturbations of the considered equation over $p$-adic field.

arXiv comment11 pages. Accepted: Izvestiya Mathematics

References in corpus (3)

• p-Adic Mathematical Physics
• $p$-Adic Mathematical Physics: The First 30 Years
• On equation $x^q=a$ over $\bq_p$