Linear forms in logarithms and the mathematical method of Diophantine equations: applications in chemistry and physics

DOI10.1007/s10910-021-01274-yzbMath1498.11107OpenAlexW3190620458MaRDI QIDQ2230708

Pagdame Tiebekabe, Ismaïla Diouf

Publication date: 28 September 2021

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-021-01274-y

zbMATH Keywords

Fibonacci sequenceperfect powersDiophantine equationmathematical methodlinear forms in logarithm

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Celestial mechanics (70F15) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Diophantine equations (11D99)

Related Items (1)

ON SOLUTIONS OF THE DIOPHANTINE EQUATION Fn1 + Fn2 + Fn3 + Fn4 = 2^a

Cites Work

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• 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
• Mathematics of Public Key Cryptography
• An LLL Algorithm with Quadratic Complexity
• Topics and Methods in q-Series
• Lucas and fibonacci numbers and some diophantine Equations
• On Square Fibonacci Numbers

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