20 citations · 128 across the 39 of their papers we have counts for
4 papers · 2 filters
Growth degree classification for finitely generated semigroups of integer matrices
Jason P. Bell, Michael Coons, Kevin G. Hare
Let be a finite set of matrices with integer entries and let be the maximum norm of a product of elements of . In this…
The minimal growth of a -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 \(k\)…
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 with minimal polynomial is the only Pisot number whose four distinct conjugates satisfy the ad…
Three Series for the Generalized Golden Mean
Kevin Hare, Helmut Prodinger, Jeffrey Shallit
As is well-known, the ratio of adjacent Fibonacci numbers tends to phi = (1 + sqrt(5))/2, and the ratio of adjacent Tribonacci numbers (where each term is the sum of the three prec…