Counting lattice points


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 \ell_p(\mathbb{R}^d). 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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