Distribution of units of real quadratic number fields
Distribution of units of real quadratic number fields
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实二次数域的单位分布
DOI：
10.1017/s0027763000007364
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发表时间：
2000
影响因子：
0.8
通讯作者：
Jing Yu
中科院分区：
文献类型：
--
作者：
Yen;Y. Kitaoka;Jing Yu
设k是一个真实的二次域，k，E是整数环和k中的单位群。用E（）表示素理想的（k/）×的子群E，证明了在广义Riemann假设下，E（）的阶理论上是最大的素理想有正密度.
Abstract Let k be a real quadratic field and k, E the ring of integers and the group of units in k. Denoting by E() the subgroup represented by E of ( k/)× for a prime ideal , we show that prime ideals for which the order of E() is theoretically maximal have a positive density under the Generalized Riemann Hypothesis.