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arxiv: 1207.0111 · v2 · pith:3NLC7X7Znew · submitted 2012-06-30 · 🧮 math.AC

On the variety of linear recurrences and numerical semigroups

classification 🧮 math.AC
keywords linearnumericalrecurrencessemigroupsexactlyexistencefinitelyfunction
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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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