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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 2006Show all

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math.CA2006★ 1 cited

Pointwise convergence of the ergodic bilinear Hilbert transform

Ciprian Demeter

Let be a dynamical system. We prove that the bilinear series $\sideset{}{'}\sum_{n=-N}^{N}\frac{f(τ^nx)g(τ^{-n}x)}{n}$ converges almost everywhere for each $…

math.DS2006★ 1 cited

Breaking the duality in the return times theorem

Ciprian Demeter, Michael Lacey, Terence Tao +1

We prove Bourgain's Return Times Theorem for a range of exponents and that are outside the duality range. An oscillation result is used to prove hitherto unknown almost eve…