English

Two Combinatorial Geometric Problems Involving Modular Hyperbolas

Number Theory 2013-06-26 v2

Abstract

We give a lower bound for the number of ordinary lines spanned by a modular hyperbola when the modulus is a prime power. We also give a partial answer to a question of Shparlinski.

Keywords

Cite

@article{arxiv.1304.6943,
  title  = {Two Combinatorial Geometric Problems Involving Modular Hyperbolas},
  author = {Mizan R. Khan and Richard Magner and Steven Senger and Arne Winterhof},
  journal= {arXiv preprint arXiv:1304.6943},
  year   = {2013}
}

Comments

22 pages

R2 v1 2026-06-22T00:06:25.519Z