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Unit Group of Algebraic Real Quadratic Function Fields

  • Wang Kunpeng ,
  • Zhang Xianke
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  • 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 date: 2002-02-28

  Revised date: 2002-05-28

  Online published: 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.

Cite this article

Wang Kunpeng , Zhang Xianke . Unit Group of Algebraic Real Quadratic Function Fields[J]. Journal of University of Chinese Academy of Sciences, 2003 , 20(2) : 139 -145 . DOI: 10.7523/j.issn.2095-6134.2003.2.002

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[8] Wang Kun-Peng, Zhang Xian-Ke. Continued fractions connected with algebraic quadratic function fields.(to appear)

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