P-adic monomial equations and their perturbations

F. M. Mukhamedov; O. N. Khakimov

doi:10.1070/IM8821

P-adic monomial equations and their perturbations

F. M. Mukhamedov, O. N. Khakimov

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

In this paper, we describe the set of solutions of the monomial equation x^κ=a over &qbhi;_p. Moreover, as an application, we study some perturbations of the equation under consideration over the p-adic field.

Original language	English
Pages (from-to)	348-360
Number of pages	13
Journal	Izvestiya Mathematics
Volume	84
Issue number	2
DOIs	https://doi.org/10.1070/IM8821
Publication status	Published - Apr 2020

Keywords

Monomial equation
p-adic numbers
rational function

ASJC Scopus subject areas

Mathematics(all)

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10.1070/IM8821

Cite this

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title = "P-adic monomial equations and their perturbations",

abstract = "In this paper, we describe the set of solutions of the monomial equation xκ=a over &qbhi;p. Moreover, as an application, we study some perturbations of the equation under consideration over the p-adic field.",

keywords = "Monomial equation, p-adic numbers, rational function",

author = "Mukhamedov, {F. M.} and Khakimov, {O. N.}",

note = "Funding Information: This work was supported by the UAEU UPAR Grant No. 31S259. Publisher Copyright: {\textcopyright} 2020 Russian Academy of Sciences (DoM) and London Mathematical Society.",

year = "2020",

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AU - Mukhamedov, F. M.

AU - Khakimov, O. N.

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AB - In this paper, we describe the set of solutions of the monomial equation xκ=a over &qbhi;p. Moreover, as an application, we study some perturbations of the equation under consideration over the p-adic field.

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KW - p-adic numbers

KW - rational function

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JF - Izvestiya Mathematics

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P-adic monomial equations and their perturbations

Abstract

Keywords

ASJC Scopus subject areas

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