A note on the multiplicative structure of an additively shifted product set, AA+1
Combinatorics
2012-05-23 v1 Number Theory
Abstract
We consider the multiplicative structure of sets of the form AA+1, where where A is a large, finite set of real numbers. In particular, we show that the additively shifted product set, AA+1 must have a large part outside of any generalized geometric progression of comparable length. We prove an analogous result in finite fields as well.
Keywords
Cite
@article{arxiv.1205.4769,
title = {A note on the multiplicative structure of an additively shifted product set, AA+1},
author = {Steven Senger},
journal= {arXiv preprint arXiv:1205.4769},
year = {2012}
}
Comments
6 pages