Current Developments in Mathematics

Three topics in additive prime number theory

Ben Green

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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.

Article information

Source
Current Developments in Mathematics Volume 2007 (2009), 1-41.

Dates
First available in Project Euclid: 5 October 2009

Permanent link to this document
https://projecteuclid.org/euclid.cdm/1254748602

Mathematical Reviews number (MathSciNet)
MR2532994

Zentralblatt MATH identifier
1230.11113

Citation

Green, Ben. Three topics in additive prime number theory. Current Developments in Mathematics 2007 (2009), 1--41. https://projecteuclid.org/euclid.cdm/1254748602.


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