Pell-Lucas numbers as sum of same power of consecutive Pell numbers

DOI10.1007/s00009-022-02174-4zbMath1505.11031OpenAlexW4306353395MaRDI QIDQ2094544

Salah Eddine Rihane, Euloge B. Tchammou, Alain S. Togbé

Publication date: 28 October 2022

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

Full work available at URL: https://doi.org/10.1007/s00009-022-02174-4

zbMATH Keywords

reduction methodPell numbersPell-Lucas numberslinear form in logarithms

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)

Cites Work

• Linear forms in two logarithms and interpolation determinants
• On the Diophantine equation \(\sum_{j=1}^kjP_j^p=P_n^q\)
• Problems in Algebraic Number Theory
• On the exponential Diophantine equation P^x _n + P ^x _n+1 + ⋯ + P ^x _n+k-1 = P_m
• On the exponential Diophantine equation Pxn+Pxn+1=Pm
• Pell and Pell–Lucas Numbers with Applications

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