On the Set of Partial Sums of an Infinite Series
On the Set of Partial Sums of an Infinite Series
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DOI：
10.11429/ptmps1907.7.14_250
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发表时间：
1914-05
期刊：
影响因子：
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通讯作者：
S. Kakeya
中科院分区：
文献类型：
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作者：
S. Kakeya
讨论这些部分和的集合的性质似乎有些有趣。我能够证明的集合的一个性质如下。任何绝对收敛的无穷级数，无论是真实的还是复的，其部分和的集合都是完美的。
It seems to be somewhat interesting to discuss about the nature of the set of these partial sums. One of the properties of the set, which I have been able to prove, is as follows. The set of partial sums of any absolutely converging infinite series, real or complex, is perfect.