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03:07 Feb 5, 2009
This question was closed without grading. Reason: Answer found elsewhere

German to English translations [PRO]
Science - Mathematics & Statistics
German term or phrase: Summenbereich
More about the work of Steinitz

In drei Arbeiten im Crelle Journal untersucht Steinitz den »Summenbereich« bedingt konvergenter komplexer Reihen.

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Summary of answers provided
3all the possible sumscasper
Summary of reference entries provided
Alexander Ryshow

Discussion entries: 2



58 mins   confidence: Answerer confidence 3/5Answerer confidence 3/5
all the possible sums

For the converse of III, viz. that all the possible sums of a conditionally convergent complex series obtained by derangement lie on a straight line or else cover the whole complex plane, see Steinitz, 1913-15. For a further result on conditionally convergent series see Knopp, 1925 a and Jarnik, 1926.

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