Symmetric Numerical Semigroups Generated by Fibonacci and Lucas Triples

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dc.creatorFel, Leonid G.
dc.date2008-03-11
dc.date.accessioned2026-07-07T09:26:11Z
dc.date.available2026-07-07T09:26:11Z
dc.descriptionThe symmetric numerical semigroups S(F_a,F_b,F_c) and S(L_k,L_m,L_n) generated by three Fibonacci (F_a,F_b,F_c) and Lucas (L_k,L_m,L_n) numbers are considered. Based on divisibility properties of the Fibonacci and Lucas numbers we establish necessary and sufficient conditions for both semigroups to be symmetric and calculate their Hilbert generating series, Frobenius numbers and genera.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0803.1606
dc.identifierhttp://arxiv.org/abs/0803.1606
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156662
dc.subjectNumber Theory
dc.subjectCommutative Algebra
dc.subject20M14, 11N37
dc.titleSymmetric Numerical Semigroups Generated by Fibonacci and Lucas Triples
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