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20052026
most citedProof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three

60 citations · 151 across the 48 of their papers we have counts for

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Showing 2018 · math.NTShow all

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math.NT2018

On the number of th powers inside arithmetic progressions

Jean Bourgain, Ciprian Demeter

We find upper bounds that are sharp for the number of th powers inside arbitrary arithmetic progressions whose step has many divisors.

math.NT2018

Three applications of the Siegel mass formula

Jean Bourgain, Ciprian Demeter

We present three applications of the Siegel mass formula. First we estimate the number of solutions of a quadratic system of equations. We also include estimates for the distributi…