Quasi-polynomials, linear Diophantine equations and semi-linear sets

Citations of this article
Mendeley users who have this article in their library.
Get full text


We investigate the family of semi-linear sets of ℕ t and ℤ t. We study the growth function of semi-linear sets and we prove that such a function is a piecewise quasi-polynomial on a polyhedral partition of ℕ t. Moreover, we give a new proof of combinatorial character of a famous theorem by Dahmen and Micchelli on the partition function of a system of Diophantine linear equations. © 2011 Elsevier B.V. All rights reserved.




D’Alessandro, F., Intrigila, B., & Varricchio, S. (2012). Quasi-polynomials, linear Diophantine equations and semi-linear sets. Theoretical Computer Science, 416, 1–16. https://doi.org/10.1016/j.tcs.2011.10.014

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free