Proportionally modular Diophantine inequalities and their multiplicity (Q627593)
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scientific article; zbMATH DE number 5859381
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Proportionally modular Diophantine inequalities and their multiplicity |
scientific article; zbMATH DE number 5859381 |
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Proportionally modular Diophantine inequalities and their multiplicity (English)
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2 March 2011
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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.
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Diophantine inequality
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numerical semigroup
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