On a Diophantine equation involving powers of Fibonacci numbers

DOI10.3792/pjaa.96.007zbMath1478.11017OpenAlexW3014095999MaRDI QIDQ1988512

László Szalay, Krisztián Gueth, Florian Luca

Publication date: 23 April 2020

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1585728123

zbMATH Keywords

diophantine equationFibonacci numberweighted sum

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (3)

On the equation \(\sum_{j = 1}^k j F_j^p = F_n^q\) ⋮ Unnamed Item ⋮ On some Diophantine equations involving balancing numbers

Cites Work

• On the sum of powers of two consecutive Fibonacci numbers
• An exponential Diophantine equation related to powers of two consecutive Fibonacci numbers
• On the Diophantine equation $\sum _{j=1}^kjF_j^p=F_n^q$
• Unnamed Item

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