On the measure of totally real algebraic integers

On the measure of totally real algebraic integers
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论全实代数整数的测度

DOI:
10.1017/s1446788700016426
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发表时间:
1980
期刊:
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
影响因子:
--
通讯作者:
By C. P. Smyth
By C. P. Smyth
中科院分区:
--
文献类型:
--
作者:
By C. P. Smyth

文献摘要

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对于D(x)次的全实数代数整数x,我们研究了M(x)1D(x)值集的结构。其中M(x)是x的测度。我们找到了这个集合的一个小极限点λ,并且证明了这个集合在(λ x)中处处是稠密的。
For totally real algebraic integers x of degree D(x), we examine the stucture of the set of values M(x)1D(x). where M(x) is the measure of x. We find a small limit point λ of this set, and show that the set is everywhere dense in (λ x).