Lecture Notes 1 for 254a
نویسنده
چکیده
The aim of this course is to tour the highlights of arithmetic combinatorics the combinatorial estimates relating to the sums, differences, and products of finite sets, or to related objects such as arithmetic progressions. The material here is of course mostly combinatorial, but we will also exploit the Fourier transform at times. We will also discuss the recent applications of this theory to geometric combinatorics problems, and in particular the Kakeya problem.
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