Edray Goins

activity

20042022

most citedLattice point visibility on generalized lines of sight

19 citations · 24 across the 15 of their papers we have counts for

collaborators

Showing math.NTShow all

10 papers · 1 filter

math.NT2018

Arithmetic of quaternion origami

Rachel Davis, Edray Herber Goins

We study origami $f : C \to E$ with $G$ -Galois cover $Q_{8}$ . For a point $P \in E (Q) \ {O}$ , we study the field obtained by adjoini…

math.NT2017★ 19 cited

Lattice point visibility on generalized lines of sight

Edray Herber Goins, Pamela E. Harris, Bethany Kubik +1

For a fixed $b \in N = {1, 2, 3, \dots}$ we say that a point $(r, s)$ in the integer lattice $Z \times Z$ is $b$ -visible from the origin if it lies on the gra…

math.NT2012

Arithmetic Progressions on Conic Sections

Alejandra Alvarado, Edray Herber Goins

The set $1, 25, 49$ is a 3-term collection of integers which forms an arithmetic progression of perfect squares. We view the set $(1, 1), (5, 25), (7, 49)$ as a 3-term collection…

math.NT2011

Points on Hyperbolas at Rational Distance

Edray Herber Goins, Kevin Mugo

Richard Guy asked for the largest set of points which can be placed in the plane so that their pairwise distances are rational numbers. In this article, we consider such a set of r…

math.NT2009

A Ternary Algebra with Applications to Binary Quadratic Forms

Edray Herber Goins

We discuss multiplicative properties of the binary quadratic form $a x^{2} + b x y + c y^{2}$ by considering a ring of matrices which is closed under a triple product. We prove that th…

math.NT2009

Artin's Conjecture and Elliptic Curves

Edray Herber Goins

Artin conjectured that certain Galois representations should give rise to entire L-series. We give some history on the conjecture and motivation of why it should be true by discuss…