Linear combinations of prime powers in sums of terms of binary recurrence sequences

DOI10.1007/s10986-017-9374-zzbMath1420.11031arXiv1612.05869OpenAlexW2597593886MaRDI QIDQ683367

Nabin Kumar Meher, Sudhansu Sekhar Rout

Publication date: 6 February 2018

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.05869

zbMATH Keywords

linear forms in logarithmsreduction methodDiophantine equationslinear recurrence sequence

Mathematics Subject Classification ID

Recurrences (11B37) Diophantine equations in many variables (11D72) Linear forms in logarithms; Baker's method (11J86)

Related Items (5)

Sums of \(S\)-units in sum of terms of recurrence sequences ⋮ Cullen numbers in sums of terms of recurrence sequence ⋮ An exponential Diophantine equation related to powers of three consecutive Fibonacci numbers ⋮ Linear combinations of prime powers in \(X\)-coordinates of Pell equations ⋮ On Diophantine equations involving sums of Fibonacci numbers and powers of $2$

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