Balancing numbers as sum of same power of consecutive balancing numbers

DOI10.1007/s10013-022-00573-4MaRDI QIDQ6148896

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

Publication date: 12 January 2024

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

reduction methodPell numbersbalancing numberslinear form in logarithms

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Recurrences (11B37) Linear forms in logarithms; Baker's method (11J86) Calculation of integer sequences (11Y55)

Cites Work

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• Linear forms in two logarithms and interpolation determinants
• Coincidences in generalized Fibonacci sequences
• 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 some Diophantine equations involving balancing numbers
• On the exponential Diophantine equation P^x _n + P ^x _n+1 + ⋯ + P ^x _n+k-1 = P_m
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²

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