Higher moments of convolutions

Tomasz, Schoen and Ilya, D. Shkredov (2013) Higher moments of convolutions. PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 280 (SUPPL.). pp. 23-29. ISSN 0081-5438

Preview

Text 1110.2986v3.pdf - Published Version Available under License Creative Commons GNU LGPL (Software). Download (434kB) | Preview

Abstract

We study higher moments of convolutions of the characteristic function of a set, which generalize a classical notion of the additive energy. Such quantities appear in many problems of additive combi- natorics as well as in number theory. In our investigation we use different approaches including basic combinatorics, Fourier analysis and eigenvalues method to establish basic properties of higher energies. We provide also a sequence of applications of higher energies additive combinatorics.

Actions (login required)

Edit Item