On the Diophantine equations \(P_n =b^d Q_m +Q_k\) and \(Q_n =b^d P_m +P_k\) involving Pell and Pell-Lucas numbers
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Publication:6566129
DOI10.1007/S12044-024-00784-4MaRDI QIDQ6566129
Kouèssi Norbert Adédji, Alain Togbé, Mariama Ndao Faye
Publication date: 3 July 2024
Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)
Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86) Approximation to algebraic numbers (11J68)
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- Powers of two as sums of two k-Fibonacci numbers
- Balancing numbers which are products of three repdigits in base \(b\)
- Fibonacci and Lucas numbers as products of three repdigits in base \(g\)
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