Image for the paper "Some applications of representation theory to the sum–product phenomenon"

LCP

Representation for sum-product

Combinatorics

A new way to estimate indices via representation theory reveals links to the sum-product phenomena and Zaremba’s conjecture in number theory.

Some applications of representation theory to the sum–product phenomenon

Submitted (2023)

I. Shkredov

Pdf
Arxiv
aXi

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.

Submitted (2023)

I. Shkredov