Pseudo-elliptic integrals, units, and torsion
Number Theory
2007-05-23 v1
Abstract
We remark on pseudo-elliptic integrals and on exceptional function fields, namely function fields defined over an infinite base field but nonetheless containing non-trivial units. Our emphasis is on some elementary criteria that must be satisfied by a squarefree polynomial whose square root generates a quadratic function field with non-trivial unit. We detail the genus 1 case.
Cite
@article{arxiv.math/0403228,
title = {Pseudo-elliptic integrals, units, and torsion},
author = {Francesco Pappalardi and Alfred J. van der Poorten},
journal= {arXiv preprint arXiv:math/0403228},
year = {2007}
}
Comments
Submitted preprint