Kevin G. Hare

activity

20102015

most citedGrowth degree classification for finitely generated semigroups of integer matrices

4 citations · 8 across the 7 of their papers we have counts for

collaborators

7 papers

math.CO2015

Some properties of even moments of uniform random walks

Kevin G. Hare, Ghislain McKay

We build upon previous work on the densities of uniform random walks in higher dimensions, exploring some properties of the even moments of these densities and extending a result a…

math.NT2014★ 4 cited

Growth degree classification for finitely generated semigroups of integer matrices

Jason P. Bell, Michael Coons, Kevin G. Hare

Let $A$ be a finite set of $d \times d$ matrices with integer entries and let $m_{n} (A)$ be the maximum norm of a product of $n$ elements of $A$ . In this…

math.NT2014★ 1 cited

The minimal growth of a $k$ -regular sequence

Jason P. Bell, Michael Coons, Kevin G. Hare

We determine a lower gap property for the growth of an unbounded $\mathbb{Z}$-valued $k$-regular sequence. In particular, if $f:\mathbb{N}\to\mathbb{Z}$ is an unbounded $k$…

math.NT2014★ 2 cited

There are no two non-real conjugates of a Pisot number with the same imaginary part

Artūras Dubickas, Kevin G. Hare, Jonas Jankauskas

We show that the number $α = (1 + 3 + 25) /2$ with minimal polynomial $x^{4} - 2 x^{3} + x - 1$ is the only Pisot number whose four distinct conjugates $α_{1}, α_{2}, α_{3}, α_{4}$ satisfy the ad…

math.MG2012★ 1 cited

Sporadic Reinhardt polygons

Kevin G. Hare, Michael J. Mossinghoff

Let $n$ be a positive integer, not a power of two. A \textit{Reinhardt polygon} is a convex $n$ -gon that is optimal in three different geometric optimization problems: it has maxim…

math.NT2010

The sum of digits of $n$ and $n^{2}$

K. G. Hare, S. Laishram, T. Stoll

Let $s_{q} (n)$ denote the sum of the digits in the $q$ -ary expansion of an integer $n$ . In 2005, Melfi examined the structure of $n$ such that $s_{2} (n) = s_{2} (n^{2})$ . We extend this stu…