English

$P$-adic monomial equations and their perturbation

Number Theory 2020-06-24 v1

Abstract

In this paper, we describe the set of all solutions of monomial equation xk=ax^k=a over Qp\mathbb Q_p. Moreover, as an application of the result, we study several perturbations of the considered equation over pp-adic field.

Cite

@article{arxiv.1909.04287,
  title  = {$P$-adic monomial equations and their perturbation},
  author = {Farrukh Mukhamedov and Otabek Khakimov},
  journal= {arXiv preprint arXiv:1909.04287},
  year   = {2020}
}

Comments

11 pages. Accepted: Izvestiya Mathematics

R2 v1 2026-06-23T11:10:38.174Z