关于三元丢番图方程x2−y2m = zn的注释

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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