On the variety of linear recurrences and numerical semigroups
Commutative Algebra
2013-11-01 v2
Abstract
In this work, we prove the existence of linear recurrences of order M with a non-trivial solution vanishing exactly on the set of gaps (or a subset) of a numerical semigroup S finitely generated by a1 < a2 <...< aN and M = aN. Keywords: numerical semigroups, linear recurrences, generating function.
Keywords
Cite
@article{arxiv.1207.0111,
title = {On the variety of linear recurrences and numerical semigroups},
author = {Ivan Martino and Luca Martino},
journal= {arXiv preprint arXiv:1207.0111},
year = {2013}
}
Comments
Accepted on Semigroup Forum