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arxiv: 1404.0775 · v1 · pith:HX3KD5KHnew · submitted 2014-04-03 · 🧮 math.NT · math.DS

Linear equations in primes and dynamics of nilmanifolds

classification 🧮 math.NT math.DS
keywords equationslinearnumbertheoryadditivebehindcombinatoricscomplexity
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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.

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