Moments of Gaussian hypergeometric functions over finite fields

DOI10.7169/facm/2088arXiv2111.08393OpenAlexW3214207438MaRDI QIDQ6146691

Bidisha Roy, Ankan Pal, Mohammad Sadek

Publication date: 15 January 2024

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.08393

zbMATH Keywords

momentselliptic curveshypergeometric functionsfinite fields

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Other character sums and Gauss sums (11T24)

Cites Work

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• Elliptic curves and special values of Gaussian hypergeometric series
• Average rank of families of elliptic curves and Sato-Tate laws
• Hasse invariants for the Clausen elliptic curves
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• Certain product formulas and values of Gaussian hypergeometric series
• Distribution of values of Gaussian hypergeometric functions
• Character sums, Gaussian hypergeometric series, and a family of hyperelliptic curves
• Hypergeometric functions over 𝔽_{𝕢} and traces of Frobenius for elliptic curves
• Hypergeometric Functions Over Finite Fields
• Values of Gaussian hypergeometric series
• Zeta functions of an infinite family of K3 surfaces
• A Gaussian hypergeometric series evaluation and Apéry number congruences

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