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A+ CATEGORY SCIENTIFIC UNIT

Multiplicatively dependent triples of Tribonacci numbers

Volume 171 / 2015

Carlos Alexis Ruiz Gómez, Florian Luca Acta Arithmetica 171 (2015), 327-353 MSC: 11B39, 11J86. DOI: 10.4064/aa171-4-3

Abstract

We consider the Tribonacci sequence given by T_0 = 0, T_1=T_2=1 and T_{n+3}=T_{n+2}+T_{n+1}+T_n for all n\ge 0, and we find all triples of Tribonacci numbers which are multiplicatively dependent.

Authors

  • Carlos Alexis Ruiz GómezDepartamento de Matemáticas
    Universidad del Valle
    Calle 13 No. 100-00
    25360 Cali, Colombia
    e-mail
  • Florian LucaSchool of Mathematics
    University of the Witwatersrand
    Private Bag X3, Wits 2050
    Johannesburg, South Africa
    e-mail

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