{
  "id": "1404.0775",
  "version": "v1",
  "published": "2014-04-03T06:42:51.000Z",
  "updated": "2014-04-03T06:42:51.000Z",
  "title": "Linear equations in primes and dynamics of nilmanifolds",
  "authors": [
    "Tamar Ziegler"
  ],
  "comment": "Submitted to Proceedings of the ICM 2014",
  "categories": [
    "math.NT",
    "math.DS"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-03T06:42:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "linear equations",
      "nilmanifolds",
      "littlewood type estimates",
      "additive number theory",
      "finite complexity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.0775Z"
    }
  }
}