Abstract
In [94] the authors introduce the concept of a modular Diophantine inequality. The set of integer solutions of such an inequality is a numerical semigroup. In that manuscript it is shown that the genus of these semigroups can be obtained from the coefficients of the inequality. However, to date we still do not know formulas for the Frobenius number or the multiplicity of the semigroup of solutions of a modular Diophantine inequality.
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Rosales, J., García-Sánchez, P. (2009). Proportionally modular numerical semigroups. In: Numerical Semigroups. Developments in Mathematics, vol 20. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-0160-6_5
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DOI: https://doi.org/10.1007/978-1-4419-0160-6_5
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Online ISBN: 978-1-4419-0160-6
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