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 a(1) < a(2) < ... < a(N) and M = a(N) .

On the variety of linear recurrences and numerical semigroups

Martino, Ivan;Martino, Luca
2013-01-01

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 a(1) < a(2) < ... < a(N) and M = a(N) .
2013
Numerical semigroups
Linear recurrences
Generating function
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/614632
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