English

Small generators of function fields

Number Theory 2012-04-19 v1

Abstract

Let K/kK/k be a finite extension of a global field. Such an extension can be generated over kk by a single element. The aim of this article is to prove the existence of a "small" generator in the function field case. This answers the function field version of a question of Ruppert on small generators of number fields.

Keywords

Cite

@article{arxiv.1204.4158,
  title  = {Small generators of function fields},
  author = {Martin Widmer},
  journal= {arXiv preprint arXiv:1204.4158},
  year   = {2012}
}
R2 v1 2026-06-21T20:51:37.715Z