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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/41424

    Title: Distribution of units of real quadratic number fields
    Authors: 陳燕美;Chen, Yen-mei J.;Kitaoka, Yoshiyuki;Yu, Jing
    Contributors: 淡江大學數學學系
    Date: 2000-06-01
    Issue Date: 2010-01-28 07:32:05 (UTC+8)
    Publisher: Graduate School of Mathematics, Nagoya University
    Abstract: Let kk be a real quadratic field and okok, EE the ring of integers and the group of units in kk. Denoting by E(p)E(p) the subgroup represented by EE of (ok/p)×(ok/p)× for a prime ideal pp, we show that prime ideals pp for which the order of E(p)E(p) is theoretically maximal have a positive density under the Generalized Riemann Hypothesis.
    Relation: Nagaya Mathematical Journal 158, pp.167-184
    DOI: 10.1017/S0027763000007364
    Appears in Collections:[數學學系暨研究所] 期刊論文

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