## Current Developments in Mathematics

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

### Three topics in additive prime number theory

#### 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**

http://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. http://projecteuclid.org/euclid.cdm/1254748602.