scientific article; zbMATH DE number 7556149

zbMath1493.11038MaRDI QIDQ5088682

Euloge B. Tchammou, Souleymane Nansoko, Alain S. Togbé

Publication date: 13 July 2022

Full work available at URL: http://math.colgate.edu/~integers/w5/w5.pdf

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Fibonacci sequenceLucas sequenceexponential diophantine equation

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• Unnamed Item
• Unnamed Item
• 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 \(\sum_{j=1}^kjP_j^p=P_n^q\)
• Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• On the diophantine equation ${n \choose k} = x^l$
• On the Diophantine equation $\sum _{j=1}^kjF_j^p=F_n^q$

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