144 citations · 741 across the 67 of their papers we have counts for
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math.NT2011★ 59 cited
Vinogradov's mean value theorem via efficient congruencing, II
Trevor D. Wooley
We apply the efficient congruencing method to estimate Vinogradov's integral for moments of order 2s, with 1<=s<=k^2-1. Thereby, we show that quasi-diagonal behaviour holds when s=…
cs.CR2011
Privacy Amplification and Non-Malleable Extractors Via Character Sums
Yevgeniy Dodis, Xin Li, Trevor D. Wooley +1
In studying how to communicate over a public channel with an active adversary, Dodis and Wichs introduced the notion of a non-malleable extractor. A non-malleable extractor dramati…
math.NT2011★ 114 cited
Vinogradov's mean value theorem via efficient congruencing
Trevor D. Wooley
We obtain estimates for Vinogradov's integral which for the first time approach those conjectured to be the best possible. Several applications of these new bounds are provided. In…