On Gelfond's conjectures about the sum of digits function

Joël Rivat

Institut Mathématique de Luminy, Université de la Méditerranée, Marseille, France

Coauthor(s): Christian Mauduit

Recently, we proved Gelfond's conjecture (1968) on the equidistribution of the sum of the digits of prime numbers in residue classes. We will discuss the main ideas leading to this result and related questions.