Document Type

Article

Publication Date

1-1-2018

Abstract

For an odd prime p, let φ denote the quadratic character of the multiplicative group Fp×, where Fp is the finite field of p elements. In this paper, we will obtain evaluations of the hypergeometric functions 2F1(Formula presented), x ∈ Fp, x ≠ 0, 1, over Fp in terms of Hecke character attached to CM elliptic curves for characters ψ of Fp× of order 3, 4, 6, 8, and 12.

Publication Source (Journal or Book title)

Symmetry Integrability and Geometry Methods and Applications Sigma

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