Sums of \(S\)-units in recurrence sequences
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Publication:1627953
DOI10.1016/j.jnt.2018.10.009zbMath1465.11084OpenAlexW2901369171WikidataQ128943260 ScholiaQ128943260MaRDI QIDQ1627953
Sudhansu Sekhar Rout, Attila Bérczes, Lajos Hajdu, István Pink
Publication date: 3 December 2018
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2018.10.009
Baker's methodrecurrence sequences\(S\)-unit equationspolynomial-exponential equationssums of \(S\)-units
Related Items (4)
Sums of \(S\)-units in sum of terms of recurrence sequences ⋮ \(S\)-parts of sums of terms of linear recurrence sequences ⋮ Sums of \(S\)-units in the solution sets of generalized Pell equations ⋮ Cullen numbers in sums of terms of recurrence sequence
Cites Work
- Perfect powers in second order linear recurrences
- Powers of two as sums of three Pell numbers
- Linear combinations of factorials and \(S\)-units in a binary recurrence sequence
- An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
- Unit Equations in Diophantine Number Theory
- Linear combinations of prime powers in binary recurrence sequences
- Products of Prime Powers in Binary Recurrence Sequences Part I: The Hyperbolic Case, with an Application to the Generalized Ramanujan-Nagell Equation
- Products of Prime Powers in Binary Recurrence Sequences Part II: The Elliptic Case, with an Application to a Mixed Quadratic-Exponential Equation
- On the Diophantine equation $ax^{2t}+bx^ty+cy^2=d$ and pure powers in recurrence sequences.
- Arithmetical study of recurrence sequences
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