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arXiv · 1207.0111

On the variety of linear recurrences and numerical semigroups

Ivan Martino·Luca Martino
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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.

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Ivan Martino, Luca Martino. 2013-10-31. On the variety of linear recurrences and numerical semigroups. https://arxiv.org/abs/1207.0111

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