arXiv:1404.0775 Abstract | arXiv Analytics

arXiv:1404.0775 [math.NT]Abstract References Reviews Resources

Linear equations in primes and dynamics of nilmanifolds

Published 2014-04-03Version 1

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.

Comments: Submitted to Proceedings of the ICM 2014

Categories: math.NT, math.DS

Keywords: linear equations, nilmanifolds, littlewood type estimates, additive number theory, finite complexity

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