A family of algebraic curves and Appell series over finite fields

Plane and space curves (14H50) Special algebraic curves and curves of low genus (14H45) Curves over finite and local fields (11G20) Other character sums and Gauss sums (11T24) Classical hypergeometric functions, ({}_2F_1) (33C05) Appell, Horn and Lauricella functions (33C65) Special functions in characteristic (p) (gamma functions, etc.) (33E50)

Cites Work

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Hypergeometric functions and a family of algebraic curves
Transformations of well-poised hypergeometric functions over finite fields
Elliptic curves and special values of Gaussian hypergeometric series
Classical automorphic forms and hypergeometric functions
Orthogonal matrices obtained from hypergeometric series over finite fields and elliptic curves over finite fields
Appell series over finite fields and Gaussian hypergeometric series
$_4F_3$-Gaussian hypergeometric series and traces of Frobenius for elliptic curves
A finite field analogue of the Appell series $F_4$
A theta model for elliptic curves
An Appell series over finite fields
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Hypergeometric functions over $\mathbb F_q$ and traces of Frobenius for elliptic curves
Certain values of Gaussian hypergeometric series and a family of algebraic curves
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HYPERGEOMETRIC FUNCTIONS OVER FINITE FIELDS AND THEIR RELATIONS TO ALGEBRAIC CURVES
Hypergeometric functions over ${\mathbb {F}_p}$ and relations to elliptic curves and modular forms
₃F₂ HYPERGEOMETRIC SERIES AND PERIODS OF ELLIPTIC CURVES
Hypergeometric Functions Over Finite Fields
Algebraic values of G-functions.
Values of Gaussian hypergeometric series
Appell series 𝔽1 over finite fields
Hypergeometric functions over finite fields
Appell’s hypergeometric series over finite fields
Multiple Hypergeometric Series: Appell Series and Beyond

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