English

On the Erd\H{o}s-Falconer distance problem for two sets of different size in vector spaces over finite fields

Number Theory 2012-11-26 v2 Combinatorics

Abstract

We consider a finite fields version of the Erd\H{o}s-Falconer distance problem for two different sets. In a certain range for the sizes of the two sets we obtain results of the conjectured order of magnitude.

Keywords

Cite

@article{arxiv.1110.3502,
  title  = {On the Erd\H{o}s-Falconer distance problem for two sets of different size in vector spaces over finite fields},
  author = {Rainer Dietmann},
  journal= {arXiv preprint arXiv:1110.3502},
  year   = {2012}
}

Comments

13 pages; fixed some mistakes (results unchanged) and updated bibliography