LatticePoints

The above pdf contains some notes I wrote up on using (for the most part) elementary methods to count lattice points in dilates of the unit ball of There are some connections to the Dirichlet kernel, Waring’s problem, smooth number estimates, and probability.

Motivated by a nice talk in the graduate student analysis seminar provided by Hadrian Quan, I make a quick connection to a particular case of Weyl’s law.

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