Elliptic curves over finite fields with Fibonacci numbers of points

zbMath1456.11116MaRDI QIDQ782954

Jhonny C. Gómez, Florian Luca, Yuri F. Bilu, Carlos Alexis Gómez Ruiz

Publication date: 29 July 2020

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://nyjm.albany.edu/j/2020/26-32.html

zbMATH Keywords

elliptic curvesFibonacci numberslinear forms in logarithmsBaker-Davenport reduction

Mathematics Subject Classification ID

Computer solution of Diophantine equations (11Y50) Curves over finite and local fields (11G20) Exponential Diophantine equations (11D61) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)

Related Items (1)

\(X\)-coordinates of Pell equations in various sequences

Uses Software

• Mathematica

Cites Work

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• Linear forms in two logarithms and interpolation determinants
• Problems in Algebraic Number Theory
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²
• Linnik's theorem on Goldbach numbers in short intervals

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