Edwards curves and Gaussian hypergeometric series

DOI10.5802/JTNB.931zbMath1411.11061arXiv1501.03526OpenAlexW2963622352MaRDI QIDQ284479

Nermine El-Sissi, Mohammad Sadek

Publication date: 18 May 2016

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

Full work available at URL: https://arxiv.org/abs/1501.03526

zbMATH Keywords

finite fieldsGaussian hypergeometric seriesEdwards curves

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Other character sums and Gauss sums (11T24) Special functions in characteristic (p) (gamma functions, etc.) (33E50)

Related Items (3)

Evaluation of Gaussian hypergeometric series using Huff's models of elliptic curves ⋮ Moments of Gaussian hypergeometric functions over finite fields ⋮ Character sums, Gaussian hypergeometric series, and a family of hyperelliptic curves

Cites Work

• Hypergeometric functions and a family of algebraic curves
• Gaussian Hypergeometric series and supercongruences
• Twisted Edwards Curves
• Hypergeometric Functions Over Finite Fields
• Values of Gaussian hypergeometric series
• A normal form for elliptic curves

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