Pseudo-elliptic Integrals, Units, and Torsion
نویسندگان
چکیده
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 D.x/ whose square root generates a quadratic function field with non-trivial unit. We detail the genus 1 case. 2000 Mathematics subject classification: primary 11J70, 11A65, 11J68.
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