47 citations · 127 across the 17 of their papers we have counts for
19 papers
The Cassels heights of cyclotomic integers
James McKee, Byeong-Kweon Oh, Chris Smyth
We study the set of mean square values of the moduli of the conjugates of cyclotomic integers . For its th derived set , we show that $\mathscr…
Symmetrizable integer matrices having all their eigenvalues in the interval [-2,2]
James McKee, Chris Smyth
The adjacency matrices of graphs form a special subset of the set of all integer symmetric matrices. The description of which graphs have all their eigenvalues in the interval [-2,…
Mahler measures of polynomials that are sums of a bounded number of monomials
Edward Dobrowolski, Chris Smyth
We study Laurent polynomials in any number of variables that are sums of at most monomials. We first show that the Mahler measure of such a polynomial is at least ,…
Closed sets of Mahler measures
Chris Smyth
Given a -variable Laurent polynomial , any integer matrix naturally defines an -variable Laurent polynomial I prove that for fixed the set $\mat…
Bounding the Number of Maximal Torsion Cosets on Subvarieties of Algebraic Tori
Tristram de Piro, Chris Smyth, Iskander Aliev
We obtain bounds on the number of maximal torsion cosets for algebraic subvarieties of n-tori, defined over the rationals, using model theoretic methods.
Survey article: Seventy years of Salem numbers
Chris Smyth
I survey results about, and recent applications of, Salem numbers.