On the Diophantine equation \(ax+by=n\)
type: Item
instance of: scholarly article
zbMATH Open document ID: 1002.11029
author: Yahui Hu
publication date: 2003-01-16T00:00:00Z
Mathematics Subject Classification ID: 11D04
zbMATH DE Number: 1640374
zbMATH Keywords: binary linear Diophantine equation
zbMATH Keywords: nonnegative integer solution
zbMATH Keywords: solvability
MaRDI profile type: Publication
title: On the Diophantine equation \(ax+by=n\)
published in: Basic Sciences Journal of Textile Universities
review text: Let \(a,b\) be coprime positive integers. Let \(N(a,b)\) denote the number of positive integers \(n\) for which the equation \(ax+by=n\) has no nonnegative integer solution \((x,y)\). In the present paper the author proves the known fact that \(N(a,b)= (a-1)(b-1)/2\).
reviewed by: Le Maohua
description: scientific article; zbMATH DE number 1640374