Event
Bruno Martin, Universit茅 du Littoral
Thursday, October 6, 2016 14:00to15:30
9th Floor, Library Building Concordia, 1400 de Maisonneuve West, Montreal, QC, H3G 1M8, CA
On prime numbers with as many ones as zeros in their binary expansion.
Drmota, Mauduit and Rivat showed in 2009 that the set $E$ of prime numbers with as many ones as zeros in their binary expansion is infinite (they actually gave an asymptotic formula for $sharp E cap [1,N]$ for $N>2$). We prove that for every irrational number $eta$, the sequence $(eta p)_{pin E}$ is uniformly distributed modulo 1. This is a joint work with Christian Mauduit and Jo毛l Rivat (Universit茅 d鈥橝ix-Marseille).