scientific article; zbMATH DE number 7114878

zbMath1450.11008MaRDI QIDQ5236575

Mahadi Ddamulira

Publication date: 9 October 2019

Full work available at URL: https://cs.uwaterloo.ca/journals/JIS/VOL22/Ddamulira/dda3.html

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zbMATH Keywords

Baker's methodlinear form in logarithmsTribonacci sequence

Mathematics Subject Classification ID

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

Related Items (7)

On a variant of Pillai problem: integers as difference between generalized Pell numbers and perfect powers ⋮ On a variant of Pillai's problem involving \(S\)-units and Fibonacci numbers ⋮ Unnamed Item ⋮ On a variant of Pillai's problem with factorials and \(S\)-units ⋮ On the Diophantine equation 𝑈_{𝑛}-𝑏^{𝑚}=𝑐 ⋮ On the problem of Pillai with k-generalized Fibonacci numbers and powers of 3 ⋮ On the problem of Pillai with Pell numbers, Pell–Lucas numbers and powers of 3

Uses Software

• OEIS

Cites Work

• Unnamed Item
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• 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
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• The on-line encyclopedia of integer sequences
• Primary cyclotomic units and a proof of Catalans conjecture
• On a variant of Pillai’s problem
• ON PILLAI'S PROBLEM WITH TRIBONACCI NUMBERS AND POWERS OF 2
• A simplified Binet formula for k-generalized Fibonacci numbers
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²

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