22 citations · 22 across the 2 of their papers we have counts for
2 papers
math.NT2005
Salem numbers, Pisot numbers, Mahler measure and graphs
James McKee, Chris Smyth
We use graphs to define sets of Salem and Pisot numbers, and prove that the union of these sets is closed, supporting a conjecture of Boyd that the set of all Salem and Pisot numbe…
math.NT2003★ 22 cited
The conjugate dimension of algebraic numbers
Neil Berry, Arturas Dubickas, Noam D. Elkies +2
We find sharp upper and lower bounds for the degree of an algebraic number in terms of the -dimension of the space spanned by its conjugates. For all but seven nonnegative integ…