Geodesic
On the Frobenius number of a modular Diophantine inequality
Mathematica Bohemica, Tome 133 (2008) no. 4, pp. 367-375.

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We present an algorithm for computing the greatest integer that is not a solution of the modular Diophantine inequality $ax \mod b\leq x$, with complexity similar to the complexity of the Euclid algorithm for computing the greatest common divisor of two integers.
DOI : 10.21136/MB.2008.140626
Classification : 11D75, 20M14
Keywords: numerical semigroup; Diophantine inequality; Frobenius number; multiplicity 
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Rosales, J. C.; Vasco, P. On the Frobenius number of a modular Diophantine inequality. Mathematica Bohemica, Tome 133 (2008) no. 4, pp. 367-375. doi : 10.21136/MB.2008.140626. http://geodesic.mathdoc.fr/articles/10.21136/MB.2008.140626/

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