Open Access
VOL. 2007 | 2009 Three topics in additive prime number theory
Ben Green

Editor(s) David Jerison, Barry Mazur, Tomasz Mrowka, Wilfried Schmid, Richard P. Stanley, Shing-Tung Yau

Current Developments in Mathematics, 2009: 1-41 (2009)


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.


Published: 1 April 2009
First available in Project Euclid: 5 October 2009

zbMATH: 1230.11113
MathSciNet: MR2532994

Rights: Copyright © 2009 International Press of Boston

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