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math.NT2014
Refinements of Gál's theorem and applications
Mark Lewko, Maksym Radziwill
We give a simple proof of a well-known theorem of Gál and of the recent related results of Aistleitner, Berkes and Seip [1] regarding the size of GCD sums. In fact, our method obta…
math.CA2014
Finite field restriction estimates based on Kakeya maximal operator estimates
Mark Lewko
In the finite field setting, we show that the restriction conjecture associated to any one of a large family of dimensional quadratic surfaces implies the dimensiona…