An Introduction to Hypergeometric, Supertigonometric, and Superhyperbolic Functions gives
a basic introduction to the newly established hypergeometric, supertrigonometric, and …

A Huff curve over a field K is an elliptic curve defined by the equation ax (y^ 2-1)= by (x^ 2-1)
ax (y 2-1)= by (x 2-1) where a, b ∈ K a, b∈ K are such that a^ 2 ≠ b^ 2 a 2≠ b 2. In a …

We study the character sums\[\phi_ {(m, n)}(a, b)=\sum_ {x\in\mathbb {F} _q}\phi\left (x
(x^{m}+ a)(x^{n}+ b)\right),\textrm {and,}\psi_ {(m, n)}(a, b)=\sum_ {x\in\mathbb {F} _q}\phi\left …

We prove explicit formulas for certain first and second moment sums of families of Gaussian
hypergeometric functions $ _ {n+ 1} F_n $, $ n\ge 1$, over finite fields with $ q $ elements …

In this article, by defining trace of Edwards curves Ea, d: x2+ y2= a2 (1+ dx2y2) over finite
field Fp, we establish an interplay between trace of Ea, d and trace of a family of elliptic …

A Note on Elliptic Curves and Hypergeometric Series 1. Introduction The focus of this article is
to find meaningful interrelatio Page 1 A Note on Elliptic Curves and Hypergeometric Series …