English

Linear equations in primes and dynamics of nilmanifolds

Number Theory 2014-04-04 v1 Dynamical Systems

Abstract

We survey some of the ideas behind the recent developments in additive number theory, combinatorics and ergodic theory leading to the proof of Hardy- Littlewood type estimates for the number of prime solutions to systems of linear equations of finite complexity.

Keywords

Cite

@article{arxiv.1404.0775,
  title  = {Linear equations in primes and dynamics of nilmanifolds},
  author = {Tamar Ziegler},
  journal= {arXiv preprint arXiv:1404.0775},
  year   = {2014}
}

Comments

Submitted to Proceedings of the ICM 2014