On the Multiplicity of a Proportionally Modular Numerical Semigroup

A proportionally modular numerical semigroup is the set Sa,b,c of nonnegative integer solutions to a Diophantine inequality of the form ax mod b≤cx, where a,b, and c are positive integers. A formula for the multiplicity of Sa,b,c, that is, mSa,b,c=kb/a for some positive integer k, is given by A. Mos...

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Bibliographic Details
Main Author: Ze Gu
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2021/3982297

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