Result: Some applications of W. Rudin's inequality to problems of combinatorial number theory

Title:
Some applications of W. Rudin's inequality to problems of combinatorial number theory
Authors:
Shkredov, I. D.
Publication Year:
2010
Collection:
Mathematics
Subject Terms:
Mathematics - Number Theory, Mathematics - Combinatorics
Document Type:
Report Working Paper
Access URL:
http://arxiv.org/abs/1002.1886
Accession Number:
edsarx.1002.1886
Database:
arXiv

Further Information

In the paper we obtain some new applications of well--known W. Rudin's theorem concerning lacunary series to problems of combinatorial number theory. We generalize a result of M.-C. Chang on L_2 (L)-norm of Fourier coefficients of a set (here L is a dissociated set), and prove a dual version of the theorem. Our main instrument is computing of eigenvalues of some operators.
Comment: 15 pages