Tribonacci numbers that are products of two Fibonacci numbers

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AuteurODJOUMANI, AYEDJO T A JAPHET
AuteurLUCA, FLORIAN
AuteurTOGBE, ALAIN
Date d'ajout2026-06-02T16:06:57Z
Date de disponibilite2026-06-02T16:06:57Z
Date de publication2023
ResumeLet $T_m$ be the $m$-th Tribonacci number and $F_n$ be the $n$-th Fibonacci number. In this paper, we solve the Diophantine equation \[ T_m = F_nF_k \] in positive integer unknowns $m,\; n$, and $k$.
Autre identifiantBECDB-14039
URIhttps://dspace.uac.bj/handle/123456789/11990
Languefr
Fait partie deFibonacci Quarterly
SujetDiophantine equations
SujetFibonacci sequence
SujetTribonacci sequence
Sujetlinear forms in logarithms
Sujetreduction method
TitreTribonacci numbers that are products of two Fibonacci numbers
TypeArticle

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