Vinogradov estimates applied to maximal theorems related to Waring's problem

Monday, December 12, 2011 -
4:00pm to 5:00pm
I'll discuss the discrete spherical maximal function of Magyar--Stein--Wainger and it's estimates. Then I'll prove recent results for higher degrees which use Vinogradov type estimates for exponential sums to improve results about maximal functions defined on the hypersurfaces arising in Waring's problem.
Speaker: 
Kevin Hughes
Princeton University
Event Location: 
Fine Hall 314