Generalizations of Jacobsthal sums and hypergeometric series over finite fields

DOI10.1007/s11139-020-00364-wzbMath1475.11214arXiv2102.07086OpenAlexW3129258210MaRDI QIDQ2054715

Yanyan Li

Publication date: 3 December 2021

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.07086

zbMATH Keywords

hyperelliptic curvescharacter sumJacobsthal sumhypergeometric series over finite fields

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Hypergeometric functions and a family of algebraic curves
• Twisted Kloosterman sums
• Sums of Gauss, Jacobi, and Jacobsthal
• Hyperelliptic curves and values of Gaussian hypergeometric series
• Character sums, Gaussian hypergeometric series, and a family of hyperelliptic curves
• Hypergeometric Functions Over Finite Fields
• Evaluation of Character Sums Connected with Elliptic Curves
• Values of Gaussian hypergeometric series

This page was built for publication: Generalizations of Jacobsthal sums and hypergeometric series over finite fields