# On Riemann's Theorem About Conditionally Convergent Series

### From NZJM

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**New Zealand Journal of Mathematics**

**Vol.** 43, (2013), **Pages** 85-93

**Jürgen Grahl**

University of Würzburg

Department of Mathematics

Würzburg

Germany

mailto:grahl@mathematik.uni-wuerzburg.de

**Shahar Nevo**

Bar-Ilan University

Department of Mathematics

Ramat-Gan 52900

Israel

**Abstract** We extend Riemann's rearrangement theorem on conditionally
convergent series of real numbers to multiple instead of simple
sums.

**Keywords** Conditionally convergent series, Fubini's theorem,
symmetric group.

**Classification** (MSC2000) 40A05, 40A10.

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