Cullen numbers in sums of terms of recurrence sequence

DOI10.1007/S00025-023-01880-ZOpenAlexW3094111651MaRDI QIDQ2696285

Nabin Kumar Meher, Sudhansu Sekhar Rout

Publication date: 11 April 2023

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.10014

zbMATH Keywords

linear forms in logarithmsDiophantine equationlinear recurrence sequenceCullen numbers

Mathematics Subject Classification ID

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

Cites Work

• On Cullen numbers which are both Riesel and Sierpiński numbers
• Linear combinations of prime powers in sums of terms of binary recurrence sequences
• Factoring polynomials with rational coefficients
• Sums of \(S\)-units in recurrence sequences
• Prime powers in sums of terms of binary recurrence sequences
• Generalized Cullen numbers in linear recurrence sequences
• Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• Pseudoprime Cullen and Woodall numbers
• Solving elliptic diophantine equations: the general cubic case
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