The Fibonacci sequence and an elliptic curve

DOI10.5802/jtnb.1210OpenAlexW4307267490MaRDI QIDQ2086416

Sungkon Chang

Publication date: 25 October 2022

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/jtnb.1210

zbMATH Keywords

\(q\)-serieselliptic curvesFibonacci sequence

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

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• The reciprocal sums of even and odd terms in the Fibonacci sequence
• The space of convolution identities on divisor functions
• Transcendence of Rogers-Ramanujan continued fraction and reciprocal sums of Fibonacci numbers
• Algebraic independence results for reciprocal sums of Fibonacci numbers
• Algebraic relations for reciprocal sums of Fibonacci numbers