Combinatorial problems in finite fields and Sidon sets
Number Theory
2015-03-13 v2 Combinatorics
Abstract
We use Sidon sets to present an elementary method to study some combinatorial problems in finite fields, such as sum product estimates, solubility of some equations and distribution of sequences in small intervals. We obtain classic and more recent results avoiding the use of exponential sums, the usual tool to deal with these problems.
Cite
@article{arxiv.1003.3576,
title = {Combinatorial problems in finite fields and Sidon sets},
author = {Javier Cilleruelo},
journal= {arXiv preprint arXiv:1003.3576},
year = {2015}
}
Comments
13 pages