淡江大學機構典藏:Item 987654321/41323
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/41323


    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: 2010-01-28 07:18:41 (UTC+8)
    Publisher: Elsevier
    Abstract: We exploit an analogue of Artin's primitive roots conjecture for one-dimensional tori over Q. Let T be a one-dimensional torus over Q, and let P∈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(Fℓ).
    Relation: Journal of Number Theory 93(1),　p.23-33
    DOI: 10.1006/jnth.2001.2706
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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