Pseudo-elliptic integrals, units, and torsion

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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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Number Theory, 11G30, 14H05 (primary), 33E05 (secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/70452

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0403228
 http://arxiv.org/abs/math/0403228

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arXiv