Abstract
We discuss, in varying degrees of detail, three contemporary themes in prime number theory. Topic 1: the work of Goldston, Pintz and Yıldırım on short gaps between primes. Topic 2: the work of Mauduit and Rivat, establishing that 50% of the primes have odd digit sum in base 2. Topic 3: work of Tao and the author on linear equations in primes.
Information
Published: 1 April 2009
First available in Project Euclid: 5 October 2009
zbMATH: 1230.11113
MathSciNet: MR2532994
Rights: Copyright © 2009 International Press of Boston
