5 citations · 9 across the 3 of their papers we have counts for
3 papers
math.NT2013
Periodic points in towers of finite fields for polynomials associated to algebraic groups
Michelle Manes, Bianca Thompson
We find the limiting proportion of periodic points in towers of finite fields for polynomial maps associated to algebraic groups, namely pure power maps z^d and Chebyshev polynomia…
math.NT2012★ 5 cited
Mahler measure of some singular K3-surfaces
Marie-Jose Bertin, Amy Feaver, Jenny Fuselier +2
We study the Mahler measure of the three-variable Laurent polynomial x + 1/x + y + 1/y + z + 1/z - k where k is a parameter. The zeros of this polynomial define (after desingulariz…
math.NT2009★ 4 cited
Moduli spaces for families of rational maps on P^1
Michelle Manes
Let phi: P^1 --> P^1 be a rational map defined over a field K. We construct the moduli space M_d(N) parameterizing conjugacy classes of degree-d maps with a point of formal period…