English

The shape of $x^2\bmod n$

Combinatorics 2022-07-22 v1 Dynamical Systems Number Theory

Abstract

We examine the graphs generated by the map xx2modnx\mapsto x^2\bmod n for various nn, present some results on the structure of these graphs, and compute some very cool examples.

Cite

@article{arxiv.2207.10512,
  title  = {The shape of $x^2\bmod n$},
  author = {Lee DeVille},
  journal= {arXiv preprint arXiv:2207.10512},
  year   = {2022}
}
R2 v1 2026-06-25T01:07:10.034Z