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Pseudo-elliptic integrals, units, and torsion
Published online by Cambridge University Press: 09 April 2009
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 D(x) whose square root generates a quadratic function field with non-trivial unit. We detail the genus I case.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 79 , Issue 3 , December 2005 , pp. 335 - 347
- Copyright
- Copyright © Australian Mathematical Society 2005
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