On the Diophantine equation \(ax+by=n\)
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 \(N(a,b)= (a-1)(b-1)/2\).
scientific article; zbMATH DE number 1640374