English

Classification of Algebraic Function Fields with Class Number One

Number Theory 2015-03-05 v5

Abstract

In this paper we prove that there are exactly eight function fields, up to isomorphism, over finite fields with class number one.

Keywords

Cite

@article{arxiv.1406.5365,
  title  = {Classification of Algebraic Function Fields with Class Number One},
  author = {Pietro Mercuri and Claudio Stirpe},
  journal= {arXiv preprint arXiv:1406.5365},
  year   = {2015}
}
R2 v1 2026-06-22T04:43:14.859Z