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math.NT2005★ 3 cited
The monic integer transfinite diameter
K. G. Hare, C. J. Smyth
We study the problem of finding nonconstant monic integer polynomials, normalized by their degree, with small supremum on an interval I. The monic integer transfinite diameter t_M(…
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…