Pseudo-elliptic integrals, units, and torsion

Details Pseudo-elliptic integrals, units, and torsion Pseudo-elliptic integrals, units, and torsion

2004-03-14

arxiv.org/abs/math/0403228v1

Mathematics

Number Theory

Submitted preprint

Scientific paper

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.

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