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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/79275

    Title: On Primitive Roots of One-Dimensional Tori
    Authors: 陳燕美;Chen, Yen-mei J.
    Contributors: 淡江大學數學學系
    Keywords: primitive roots;torus;quadratic fields;density
    Date: 2002-05-25
    Issue Date: 2012-12-03 21:55:59 (UTC+8)
    Publisher: Taipei : Tamkang University
    Abstract: We exploit an analogue of Artin's primitive root conjecture for one-dimensional tori over Q. Let 1r be a one-dimensional torus over Q, and let P E T(Q) be a nontorsion point . Under Generalized Riemann Hypothesis, we derive an explicit density formula for the set of rational primes l such that P modulo l generates T(Fe).
    Relation: 2000年國際數學與統計研討會暨第34屆中華民國數學會年會:慶祝淡江大學創校五十週年校慶 (2000 international conference on mathematics and statistics and 34th annual meeting of mathematical society of R.O.C. : commemorating the 50th anniversary of Tamkang University), pp.11
    DOI: 10.1006/jnth.2001.2706
    Appears in Collections:[Graduate Institute & Department of Mathematics] Proceeding

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