Some mixed character sum identities of Katz

DOI10.1016/j.jnt.2017.03.012zbMath1418.11155arXiv1607.05889OpenAlexW2613054098MaRDI QIDQ2360734

Ronald J. Evans

Publication date: 4 July 2017

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

Full work available at URL: https://arxiv.org/abs/1607.05889

zbMATH Keywords

Gauss sumsquantum physicsJacobi sumsquadratic transformationsHasse-Davenport relationhypergeometric \({}_2F_1\) functions over finite fields

Mathematics Subject Classification ID

Other character sums and Gauss sums (11T24) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (7)

A quadratic hypergeometric ₂𝐹₁ transformation over finite fields ⋮ Certain product formulas and values of Gaussian hypergeometric series ⋮ Appell series over finite fields and modular forms ⋮ Some mixed character sum identities of Katz. II ⋮ Appell series over finite fields and Gaussian hypergeometric series ⋮ \(_4F_3\)-Gaussian hypergeometric series and traces of Frobenius for elliptic curves ⋮ Certain transformations and special values of hypergeometric functions over finite fields

Cites Work

• Unnamed Item
• Some mixed character sum identities of Katz. II
• Hypergeometric functions over finite fields
• Rigid local systems and a question of Wootters
• States that “look the same” with respect to every basis in a mutually unbiased set
• A quadratic hypergeometric ₂𝐹₁ transformation over finite fields
• Hypergeometric Functions Over Finite Fields

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