The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes

Fuente: arXiv
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Autori principali: Robles-Pérez, Aureliano M., Rosales, José Carlos
Natura: Preprint
Pubblicazione: 2025
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author Robles-Pérez, Aureliano M.
Rosales, José Carlos
author_facet Robles-Pérez, Aureliano M.
Rosales, José Carlos
contents We compute the Frobenius number for numerical semigroups generated by the squares of three consecutive Fibonacci numbers. We achieve this by using and comparing three distinct algorithmic approaches: those developed by Ramírez Alfonsín and Rødseth ([15]), Rosales and García-Sánchez ([20]), and Tripathi ([26]).
format Preprint
id arxiv_https___arxiv_org_abs_2507_01898
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes
Robles-Pérez, Aureliano M.
Rosales, José Carlos
Number Theory
Group Theory
11D07, 20M13, 20M14
We compute the Frobenius number for numerical semigroups generated by the squares of three consecutive Fibonacci numbers. We achieve this by using and comparing three distinct algorithmic approaches: those developed by Ramírez Alfonsín and Rødseth ([15]), Rosales and García-Sánchez ([20]), and Tripathi ([26]).
title The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes
topic Number Theory
Group Theory
11D07, 20M13, 20M14
url https://arxiv.org/abs/2507.01898