On the theory of diophantine approximations. I1 (on a problem of A. Ostrowski)
On the theory of diophantine approximations. I1 (on a problem of A. Ostrowski)
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关于丢番图近似理论。
DOI：
10.1007/bf02020329
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发表时间：
1957
期刊：
影响因子：
--
通讯作者：
V. Sós
中科院分区：
文献类型：
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作者：
V. Sós
为. OSTROWSm [1] 2证明了，对任意无理数a，C~（N）是无界的.在同一篇论文中，他提出了一个问题：对于适当的a，C~（N）是否可以是片面有界的。在本文中，我们将对这个问题给予肯定的回答
As A. OSTROWSm [1] 2 has shown, for any irrational a the quantity C~(N) is unbounded. In the same paper he raised the question whether or not C~,(N) can for an appropriate a be onesidedly bounded. In this paper we are going to give to this question an affirmative answer, ie to prove the following