On some Diophantine equations involving balancing numbers

DOI10.5817/AM2021-2-113OpenAlexW3161558848MaRDI QIDQ4994507

Euloge B. Tchammou, Alain S. Togbé

Publication date: 18 June 2021

Published in: Archivum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5817/am2021-2-113

zbMATH Keywords

Diophantine equationPell numbersbalancing numbers

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (1)

Balancing numbers as sum of same power of consecutive balancing numbers

Cites Work

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• On a Diophantine equation involving powers of Fibonacci numbers
• On the equation \(\sum_{j = 1}^k j F_j^p = F_n^q\)
• On the Diophantine equation \(\sum_{j=1}^kjP_j^p=P_n^q\)
• On the Diophantine equation $\sum _{j=1}^kjF_j^p=F_n^q$

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