Sums of Fibonacci numbers close to a power of 2

DOI10.1007/s40590-023-00490-7OpenAlexW4318245527MaRDI QIDQ2686099

Elchin Hasanalizade

Publication date: 24 February 2023

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.10356

zbMATH Keywords

linear forms in logarithmsreduction methodFibonacci number

Mathematics Subject Classification ID

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

Cites Work

• Powers of two as sums of three Fibonacci numbers
• 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
• k−Fibonacci numbers close to a power of 2
• On The diophantine equationFn+F_m=2^a
• On Diophantine equations involving sums of Fibonacci numbers and powers of $2$
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