Open Access
March 2018 On the Diophantine equation $y^{p} = f(x_{1}, x_{2}, ..., x_{r})$
Raghavendran Srikanth, Sivanarayanapandian Subburam
Funct. Approx. Comment. Math. 58(1): 37-42 (March 2018). DOI: 10.7169/facm/1635

Abstract

In this paper, we study the diophantine equation $$y^{p} = f(x_{1}, x_{2}, ..., x_{r}),$$ where $f(x_{1}, x_{2}, ..., x_{r})$ is a real polynomial in variables $x_{1}, x_{2}, ..., x_{r}$ in $R$, a group of real numbers under the usual addition $+$, having the least element property.

Citation

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Raghavendran Srikanth. Sivanarayanapandian Subburam. "On the Diophantine equation $y^{p} = f(x_{1}, x_{2}, ..., x_{r})$." Funct. Approx. Comment. Math. 58 (1) 37 - 42, March 2018. https://doi.org/10.7169/facm/1635

Information

Published: March 2018
First available in Project Euclid: 2 December 2017

zbMATH: 06924914
MathSciNet: MR3780032
Digital Object Identifier: 10.7169/facm/1635

Subjects:
Primary: 11D41
Secondary: 11D45

Keywords: Diophantine equation , monic polynomial

Rights: Copyright © 2018 Adam Mickiewicz University

Vol.58 • No. 1 • March 2018
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