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›› 2003, Vol. 20 ›› Issue (2): 139-145.DOI: 10.7523/j.issn.2095-6134.2003.2.002

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Unit Group of Algebraic Real Quadratic Function Fields

Wang Kunpeng1, Zhang Xianke2   

  1. 1. State Key Lab. of Information Security, Chinese Academy of Sciences, Beijing 100039, China;
    2. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China
  • Received:2002-02-28 Revised:2002-05-28 Online:2003-03-10
  • Supported by:

    supported by the NNSFC(No.19771052)

Abstract:

For general real quadratic algebraic function field K, a theorem on the fundamental unit ε of K is given; and for sixteen types of four series of quadratic function fields K, the fundamental unit ε is exhibited explicitly.

Key words: quadratic function field, fundamental unit, continued fraction

CLC Number: