PORTUGALIAEMATHEMATICA
Vol. 63, No. 4, pp. 415-425 (2006)
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PORTUGALIAE MATHEMATICA Vol. 63, No. 4, pp. 415-425 (2006) |
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On the Frobenius number of a proportionally modular Diophantine inequalityM. Delgado and J.C. RosalesCentro de Matemática, Universidade do Porto,Rua do Campo Alegre, 687, 4169-007 Porto -- PORTUGAL E-mail: mdelgado@fc.up.pt Departamento de Álgebra, Universidad de Granada, E-18071 Granada -- SPAIN E-mail: jrosales@ugr.es Abstract: We give an algorithm to compute the greatest integer that is not solution of a Diophantine inequality of the form $ax\mod b\le cx$. As a consequence we obtain, for various cases, a formula, function of $a$, $b$ and $c$, for that number. Full text of the article:
Electronic version published on: 7 Mar 2008.
© 2006 Sociedade Portuguesa de Matemática
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