Pseudo-elliptic integrals, units, and torsion

• Autores: Francesco Pappalardi, Alfred J. van der Poorten
• Localización: Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 79, Nº 3, 2005, págs. 335-347
• Idioma: inglés
• DOI: 10.1017/s1446788700010934
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• Resumen

  • 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.