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math.NT2021
Arithmetic dynamics of random polynomials
Pierre Le Boudec, Niki Myrto Mavraki
We investigate from a statistical perspective the arithmetic properties of the dynamics of polynomials of fixed degree and defined over the field of rational numbers. To start with…
math.NT2014★ 2 cited
On the distribution of squarefree integers in arithmetic progressions
Pierre Le Boudec
We investigate the error term of the asymptotic formula for the number of squarefree integers up to some bound, and lying in some arithmetic progression a (mod q). In particular, w…