Distribution of units of real quadratic number fields

Yen Mei J. Chen; Yoshiyuki Kitaoka; Jing Yu

doi:10.1017/S0027763000007364

Distribution of units of real quadratic number fields

Yen Mei J. Chen, Yoshiyuki Kitaoka, Jing Yu

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

11 引文斯高帕斯（Scopus）

摘要

Let k be a real quadratic field and o_k, E the ring of integers and the group of units in k. Denoting by E(p) the subgroup represented by E of (o_k/p)^x for a prime ideal p, we show that prime ideals p for which the order of E(p) is theoretically maximal have a positive density under the Generalized Riemann Hypothesis.

原文	???core.languages.en_GB???
頁（從 - 到）	167-184
頁數	18
期刊	Nagoya Mathematical Journal
卷	158
DOIs	https://doi.org/10.1017/S0027763000007364
出版狀態	已出版 - 6月 2000

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10.1017/S0027763000007364

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AU - Chen, Yen Mei J.

AU - Kitaoka, Yoshiyuki

AU - Yu, Jing

PY - 2000/6

Y1 - 2000/6

N2 - Let k be a real quadratic field and ok, E the ring of integers and the group of units in k. Denoting by E(p) the subgroup represented by E of (ok/p)x for a prime ideal p, we show that prime ideals p for which the order of E(p) is theoretically maximal have a positive density under the Generalized Riemann Hypothesis.

AB - Let k be a real quadratic field and ok, E the ring of integers and the group of units in k. Denoting by E(p) the subgroup represented by E of (ok/p)x for a prime ideal p, we show that prime ideals p for which the order of E(p) is theoretically maximal have a positive density under the Generalized Riemann Hypothesis.

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U2 - 10.1017/S0027763000007364

DO - 10.1017/S0027763000007364

M3 - 期刊論文

AN - SCOPUS:0001282372

SN - 0027-7630

VL - 158

SP - 167

EP - 184

JO - Nagoya Mathematical Journal

JF - Nagoya Mathematical Journal

ER -

Distribution of units of real quadratic number fields

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