Colloque des sciences mathématiques du Québec

8 décembre 2017 de 16 h 00 à 16 h 00 (heure de Montréal/Miami) Sur place

Primes with missing digits

Colloque par James Maynard (University of Oxford)

Many famous open questions about primes can be interpreted as questions about the digits of primes in a given base. We will talk about recent work showing there are infinitely many primes with no 7 in their decimal expansion. (And similarly with 7 replaced by any other digit.) This shows the existence of primes in a 'thin' set of numbers (sets which contain at most X^{1­c} elements less than X) which is typically very difficult. The proof relies on a fun mixture of tools including Fourier analysis, Markov chains, Diophantine approximation, combinatorial geometry as well as tools from analytic number theory


UQAM, Pavillon Président-­Kennedy, 201, ave du Président­-Kennedy, salle PK­5115