English

Geometric configurations in the ring of integers modulo $p^{\ell}$

Combinatorics 2011-05-27 v1 Classical Analysis and ODEs Number Theory

Abstract

We study variants of the Erd\H os distance problem and dot products problem in the setting of the integers modulo qq, where q=pq = p^{\ell} is a power of an odd prime.

Keywords

Cite

@article{arxiv.1105.5373,
  title  = {Geometric configurations in the ring of integers modulo $p^{\ell}$},
  author = {David Covert and Alex Iosevich and Jonathan Pakianathan},
  journal= {arXiv preprint arXiv:1105.5373},
  year   = {2011}
}

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21 pages