Pseudo-elliptic integrals, units, and torsion

Francesco Pappalardi, Alfred J. Van Der Poorten*

*Corresponding author for this work

    Research output: Contribution to journalArticle

    4 Citations (Scopus)

    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 1 case.

    Original languageEnglish
    Pages (from-to)335-347
    Number of pages13
    JournalJournal of the Australian Mathematical Society
    Volume79
    Issue number3
    DOIs
    Publication statusPublished - Dec 2005

    Keywords

    • Quadratic function field of characteristic zero

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