Hypergeometric functions and algebraic curves $y^e=x^d+ax+b$

zbMath1441.11165arXiv1604.07613MaRDI QIDQ3306042

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Publication date: 12 August 2020

Full work available at URL: https://arxiv.org/abs/1604.07613

zbMATH Keywords

Gaussian hypergeometric seriesmultiplicative characters

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Other character sums and Gauss sums (11T24) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (1)

Hypergeometric functions over finite fields and modular forms. A survey and new conjectures

Cites Work

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• Hypergeometric functions and a family of algebraic curves
• Elliptic curves and special values of Gaussian hypergeometric series
• Orthogonal matrices obtained from hypergeometric series over finite fields and elliptic curves over finite fields
• ON THE POLYNOMIAL x^d + ax + b OVER 𝔽_q AND GAUSSIAN HYPERGEOMETRIC SERIES
• CERTAIN VALUES OF GAUSSIAN HYPERGEOMETRIC SERIES AND A FAMILY OF ALGEBRAIC CURVES
• Gaussian hypergeometric evaluations of traces of Frobenius for elliptic curves
• Hypergeometric Functions Over Finite Fields
• Values of Gaussian hypergeometric series
• Values of Gaussian hypergeometric series and their connections to algebraic curves

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