H. Graves

activity

20092026

most citedEuclidean Ideals in Quadratic Imaginary Fields

2 citations · 3 across the 11 of their papers we have counts for

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2 papers · 1 filter

math.NT2021

Only finitely many $s$ -Cullen numbers are repunits for a fixed $s \geq 2$

Michael Filaseta, Jon Grantham, Hester Graves

We show that for any integer $s \geq 2$ , there are only finitely many $s$ -Cullen numbers that are repunits. More precisely, for fixed $s \geq 2$ , there are only finitely many intege…

math.NT2021

The Minimal Euclidean Function on the Gaussian Integers

Hester Graves

In 1949, Motzkin proved that every Euclidean domain $R$ has a minimal Euclidean function, $ϕ_{R}$ . He showed that when $R = Z$ , the minimal function is $ϕ_{\mathbb{Z}}(x) =…

Only finitely many s-Cullen numbers are repunits for a fixed s≥2

The Minimal Euclidean Function on the Gaussian Integers

Only finitely many $s$ -Cullen numbers are repunits for a fixed $s \geq 2$