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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Symmetric modular Diophantine inequalities


Author: J. C. Rosales
Journal: Proc. Amer. Math. Soc. 134 (2006), 3417-3421
MSC (2000): Primary 20M14
Published electronically: May 31, 2006
MathSciNet review: 2240650
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Abstract: In this paper we study and characterize those Diophantine inequalities $ ax\operatorname{mod} b\leq x$ whose set of solutions is a symmetric numerical semigroup.


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Additional Information

J. C. Rosales
Affiliation: Departamento de Álgebra, Universidad de Granada, E-18071 Granada, Spain
Email: jrosales@ugr.es

DOI: http://dx.doi.org/10.1090/S0002-9939-06-08379-1
PII: S 0002-9939(06)08379-1
Received by editor(s): April 8, 2004
Received by editor(s) in revised form: June 21, 2005
Published electronically: May 31, 2006
Additional Notes: The author was supported by the project BFM2000-1469 and thanks P. A. García-Sánchez for his comments and suggestions.
Communicated by: Lance W. Small
Article copyright: © Copyright 2006 American Mathematical Society