\(S\)-parts of sums of terms of linear recurrence sequences

DOI10.1007/s10474-022-01283-6OpenAlexW3017290573MaRDI QIDQ2681278

Sudhansu Sekhar Rout, Nabin Kumar Meher

Publication date: 7 February 2023

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.06988

zbMATH Keywords

exponential Diophantine equationBaker's methodlinear recurrence sequencelinear form in logarithms

Mathematics Subject Classification ID

Recurrences (11B37) Exponential Diophantine equations (11D61) Linear forms in logarithms; Baker's method (11J86)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Arithmetic properties of positive integers with fixed digit sum
• Contributions to digit expansions with respect to linear recurrences
• S-unit equations over number fields
• On digit expansions with respect to linear recurrences
• Sums of \(S\)-units in recurrence sequences
• On the digital representation of integers with bounded prime factors
• Prime powers in sums of terms of binary recurrence sequences
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• ON THE FACTORIZATION OF f(n) FOR f(x) IN ℤ[x]
• Unit Equations in Diophantine Number Theory
• The p ‐adic generalization of the Thue‐Siegel‐Roth theorem
• On the digital representation of smooth numbers
• $S$-parts of values of univariate polynomials,\\ binary forms and decomposable forms at integral points
• ‐PARTS OF TERMS OF INTEGER LINEAR RECURRENCE SEQUENCES
• On the Zeckendorf representation of smooth numbers

This page was built for publication: \(S\)-parts of sums of terms of linear recurrence sequences