On Gowers norms of some functions
Combinatorics
2009-12-15 v1 Number Theory
Abstract
We consider a class of two-dimensional functions f(x,y) with the property that the smallness of its rectangular norm implies the smallness of rectangular norm for f(x,x+y). Also we study a family of functions f(x,y) having a similar property for higher Gowers norms. The method based on a transference principle for a class of sums over special systems of linear equations.
Keywords
Cite
@article{arxiv.0912.2436,
title = {On Gowers norms of some functions},
author = {I. D. Shkredov},
journal= {arXiv preprint arXiv:0912.2436},
year = {2009}
}
Comments
15 pages