On two-generator Fibonacci numerical semigroups with a prescribed genus
type: Item
instance of: scholarly article
title: On two-generator Fibonacci numerical semigroups with a prescribed genus
zbMATH Open document ID: 1495.11050
author: Matheus Bernardini
author: Diego Marques
author: Pavel Trojovský
published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
publication date: 2021-08-30T00:00:00Z
Mathematics Subject Classification ID: 11D07
Mathematics Subject Classification ID: 11B39
Mathematics Subject Classification ID: 20M13
zbMATH DE Number: 7388097
zbMATH Keywords: numerical semigroups
zbMATH Keywords: Fibonacci numbers
zbMATH Keywords: primitive divisor theorem
zbMATH Keywords: perfect powers
MaRDI profile type: Publication
full work available at URL: s13398-021-01091-7
OpenAlex ID: W3176447117
cites work: The Fibonacci Numbers: Exposed More Discretely
cites work: Existence of primitive divisors of Lucas and Lehmer numbers (with an appendix by M. Mignotte)
cites work: Fibonacci-like behavior of the number of numerical semigroups of a given genus.
cites work: On Fibonacci numbers of the form \(q^ky^k\).
cites work: Perfect powers from products of terms in Lucas sequences
cites work: Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
cites work: Q4215652
cites work: Two-Generator Numerical Semigroups and Fermat and Mersenne Numbers
cites work: On the number of numerical semigroups \(\langle a,b\rangle\) of prime power genus.
cites work: Improved bounds on the number of numerical semigroups of a given genus
cites work: Symmetric Numerical Semigroups Generated by Fibonacci and Lucas Triples
cites work: The Fibonacci Numbers: Exposed
cites work: Fibonacci and Lucas numbers with applications. Volume I
cites work: The set of primes dividing the Lucas numbers has density 2/3
cites work: Q4848405
cites work: Q3428595
cites work: Sharper upper bounds for the order of appearance in the Fibonacci sequence
cites work: Q4911409
cites work: Frobenius Numbers of Generalized Fibonacci Semigroups
cites work: An explicit lower bound for a homogeneous rational linear form in logarithms of algebraic numbers. II
cites work: Complexity of the Frobenius problem
cites work: My Numbers, My Friends
cites work: Q3305812
cites work: Fibonacci numbers and Fermat's last theorem
cites work: Fibonacci Series Modulo m
cites work: Fibonacci-like growth of numerical semigroups of a given genus.
DOI: 10.1007/S13398-021-01091-7
description: scientific article; zbMATH DE number 7388097