Proportionally modular Diophantine inequalities.
type: Item
instance of: scholarly article
title: Proportionally modular Diophantine inequalities.
zbMATH Open document ID: 1039.20036
author: J. M. Urbano-Blanco
author: José Carlos Rosales
author: Pedro A. García Sánchez
author: J. I. García-García
published in: Journal of Number Theory
publication date: 2004-01-26T00:00:00Z
review text: The authors study the sets of nonnegative solutions of Diophantine inequalities of the form \(ax\) mod \(b \leq cx\) with \(a, b\) and \(c\) positive integers. These sets are numerical semigroups, which are investigated and characterized.
reviewed by: Robert F. Tichy
Mathematics Subject Classification ID: 20M14
Mathematics Subject Classification ID: 11D75
zbMATH DE Number: 2032681
zbMATH Keywords: numerical semigroups
zbMATH Keywords: Diophantine inequalities
zbMATH Keywords: Frobenius numbers
Wikidata QID: Q58842964
MaRDI profile type: Publication
full work available at URL: j.jnt.2003.06.002
OpenAlex ID: W2142231701
cites work: Numerical semigroups generated by intervals
cites work: Numerical semigroups that can be expressed as an intersection of symmetric numerical semigroups
cites work: Decomposition of a numerical semigroup as an intersection of irreducible numerical semigroups.
cites work: Irreducible numerical semigroups.
cites work: Modular Diophantine inequalities and numerical semigroups.
DOI: 10.1016/J.JNT.2003.06.002
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description: scientific article; zbMATH DE number 2032681