Character sums, Gaussian hypergeometric series, and a family of hyperelliptic curves

DOI10.1142/S1793042116501311zbMath1357.11120arXiv1507.00914MaRDI QIDQ2833089

Mohammad Sadek

Publication date: 16 November 2016

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.00914

zbMATH Keywords

hyperelliptic curvescharacter sumsGaussian hypergeometric series

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Other character sums and Gauss sums (11T24) Jacobsthal and Brewer sums; other complete character sums (11L10)

Related Items (3)

Evaluation of Gaussian hypergeometric series using Huff's models of elliptic curves ⋮ Moments of Gaussian hypergeometric functions over finite fields ⋮ Generalizations of Jacobsthal sums and hypergeometric series over finite fields

Cites Work

• Edwards curves and Gaussian hypergeometric series
• Counting points of the curve \(y^2=x^{12}+a\) over a finite field
• CERTAIN VALUES OF GAUSSIAN HYPERGEOMETRIC SERIES AND A FAMILY OF ALGEBRAIC CURVES
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