Pillai's problem with k-Fibonacci and Pell numbers

DOI10.1080/10236198.2021.1990900zbMath1485.11023OpenAlexW3206155359MaRDI QIDQ5016802

Maribel Díaz, Jhon J. Bravo, Carlos Alexis Gómez Ruiz

Publication date: 13 December 2021

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2021.1990900

zbMATH Keywords

reduction methodlinear form in logarithmsPell numberPillai's problem\(k\)-Fibonacci number

Mathematics Subject Classification ID

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

Related Items (1)

On the Diophantine equation 𝑈_{𝑛}-𝑏^{𝑚}=𝑐

Cites Work

• On a variant of Pillai's problem. II.
• On a problem of Pillai with \(k\)-generalized Fibonacci numbers and powers of 2
• On Pillai's problem with the Fibonacci and Pell sequences
• Linear combinations of factorials and \(S\)-units in a binary recurrence sequence
• On a problem of Pillai with Fibonacci numbers and powers of 2
• On Some Exponential Equations of S. S. Pillai
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• On a conjecture about repdigits in k-generalized Fibonacci sequences
• On the Intersections of Fibonacci, Pell, and Lucas Numbers
• A Diophantine equation in $k$-Fibonacci numbers and repdigits
• Primary cyclotomic units and a proof of Catalans conjecture
• Problems in Algebraic Number Theory
• On a variant of Pillai’s problem
• On the distance between generalized Fibonacci numbers
• Powers of two as sums of two k-Fibonacci numbers
• ON PILLAI'S PROBLEM WITH TRIBONACCI NUMBERS AND POWERS OF 2
• A simplified Binet formula for k-generalized Fibonacci numbers
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