ID: 2307.03156

Some applications of representation theory to the sum-product phenomenon

July 6, 2023

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Ilya D. Shkredov
Mathematics
Number Theory
Combinatorics
Group Theory

In our paper, we introduce a new method for estimating incidences via representation theory. We obtain several applications to various sums with multiplicative characters and to Zaremba's conjecture from number theory.

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