Modular diophantine inequalities and numerical semigroups

J. C. Rosales, P. A. García-Sánchez and J. M. Urbano-Blanco

Vol. 218 (2005), No. 2, 379–398

DOI: 10.2140/pjm.2005.218.379

Abstract

We study the set of integer solutions to the modular diophantine inequality ax mod b ≤ x.

Mathematical Subject Classification 2000

Primary: 20M05, 20M14, 20M30, 13H10

Milestones

Received: 20 March 2003

Revised: 16 March 2004

Published: 1 February 2005

Correction: 1 May 2005