On Pillai’s problem with X-coordinates of Pell equations and powers of 2 II

DOI10.1142/S1793042121500871zbMath1493.11074OpenAlexW3174666578MaRDI QIDQ5157562

Harold Erazo, Carlos Alexis Gómez Ruiz, Florian Luca

Publication date: 19 October 2021

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042121500871

zbMATH Keywords

Pell equationDiophantine equationsPillai's problemlower bound for linear forms in two logarithms of algebraic numbers

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Exponential Diophantine equations (11D61) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items

Terms of recurrence sequences in the solution sets of generalized Pell equations ⋮ On the Diophantine equation 𝑈_{𝑛}-𝑏^{𝑚}=𝑐

Cites Work

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• On a variant of Pillai's problem. II.
• On a problem of Pillai with \(k\)-generalized Fibonacci numbers and powers of 2
• The equations \(2^N\pm 2^M\pm 2^L=z^2\)
• On Pillai's problem with the Fibonacci and Pell sequences
• On Pillai's problem with \(X\)-coordinates of Pell equations and powers of 2
• On a problem of Pillai with Fibonacci numbers and powers of 2
• On Some Exponential Equations of S. S. Pillai
• On the problem of Pillai with k-generalized Fibonacci numbers and powers of 3
• Linear forms in two logarithms and interpolation determinants II
• On $X$-coordinates of Pell equations which are repdigits
• Primary cyclotomic units and a proof of Catalans conjecture
• On a variant of Pillai’s problem
• Pillai’s problem with the Fibonacci andPadovan sequences
• ON PILLAI'S PROBLEM WITH TRIBONACCI NUMBERS AND POWERS OF 2