关于三元丢番图方程x2−y2m = zn的注释

IF 0.8 4区数学 Q2 MATHEMATICS

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2021-06-01 DOI:10.2478/auom-2021-0020

A. Bérczes, M. Le, I. Pink, G. Soydan

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引用次数: 0

摘要

设n为所有正整数的集合。本文利用一些已知的关于各种丢芬图方程的结果，解决了一类三元方程x2−y2m = zn, x, y, z, m, n∈_1,gcd(x, y) = 1, m≥2,n≥3的几个特殊情况。

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A note on the ternary Diophantine equation x2 − y2m = zn

Abstract Let ℕ be the set of all positive integers. In this paper, using some known results on various types of Diophantine equations, we solve a couple of special cases of the ternary equation x2 − y2m = zn, x, y, z, m, n ∈ ℕ, gcd(x, y) = 1, m ≥ 2, n ≥ 3.

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来源期刊

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is founded by Mirela Stefanescu and Silviu Sburlan in 1993 and is devoted to pure and applied mathematics. Published by Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania.