Proportionally modular Diophantine inequalities and their multiplicity
A proportionally modular Diophantine inequality has the form \(ax \, \text{mod} \, b \leq cx\), where \(a,b,c\) are positive integers. The set of integer solutions is a numerical semigroup: a subset of the natural numbers which contains zero, is closed under addition, and has finite complement. The authors present properties of such semigroups.
scientific article; zbMATH DE number 5859381