English

Statistics of Different Reduction Types of Fermat Curves

Number Theory 2012-12-06 v1

Abstract

We present some theoretic bounds and algorithms concerning the statistics of different reduction types in the family of Fermat curves Yp=Xs(1X)Y^p = X^s(1-X), where pp is prime and s=1,...,p2s =1, ..., p-2.

Keywords

Cite

@article{arxiv.1212.0915,
  title  = {Statistics of Different Reduction Types of Fermat Curves},
  author = {David Harvey and Igor Shparlinski},
  journal= {arXiv preprint arXiv:1212.0915},
  year   = {2012}
}