Symmetric modular Diophantine inequalities
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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.References
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Additional Information
- J. C. Rosales
- Affiliation: Departamento de Álgebra, Universidad de Granada, E-18071 Granada, Spain
- Email: jrosales@ugr.es
- 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
- © Copyright 2006 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 134 (2006), 3417-3421
- MSC (2000): Primary 20M14
- DOI: https://doi.org/10.1090/S0002-9939-06-08379-1
- MathSciNet review: 2240650