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

I. Shkredov

Pdf
Arxiv

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

I. Shkredov