Proportionally modular Diophantine inequalities and their multiplicity
type: Item
instance of: scholarly article
title: Proportionally modular Diophantine inequalities and their multiplicity
zbMATH Open document ID: 1223.11041
author: José Carlos Rosales
author: M. B. Branco
author: P. Vasco
publication date: 2011-03-02T00:00:00Z
review text: 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.
reviewed by: Florin Nicolae
Mathematics Subject Classification ID: 11D75
Mathematics Subject Classification ID: 11D04
Mathematics Subject Classification ID: 20M14
zbMATH DE Number: 5859381
zbMATH Keywords: Diophantine inequality
zbMATH Keywords: numerical semigroup
MaRDI profile type: Publication
full work available at URL: s10114-010-7573-1
OpenAlex ID: W2029440164
Wikidata QID: Q58842649
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DOI: 10.1007/S10114-010-7573-1
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 5859381