Permutations preserving sums of rearranged real series-Reference-Cited by-同舟云学术

Permutations preserving sums of rearranged real series

Published:2013-01-01 Issue:5 Volume:11 Page:
ISSN:2391-5455
Container-title:Open Mathematics
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Author:

Wituła Roman

Abstract

AbstractThe aim of this paper is to discuss one of the most interesting and unsolved problems of the real series theory: rearrangements that preserve sums of series. Certain hypothesis about combinatorial description of the corresponding permutations is presented and basic algebraic properties of the family $\mathfrak{S}_0 $, introduced by it, are investigated.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.2478/s11533-012-0156-x.pdf

Reference20 articles.

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3. Guha U.C., On Levi’s theorem on rearrangement of convergent series, Indian J. Math., 1967, 9, 91–93

4. Hu M.C., Wang J.K., On rearrangements of series, Bull. Inst. Math. Acad. Sinica, 1979, 7(4), 363–376

5. Kronrod A., On permutation of terms of numerical series, Mat. Sbornik, 1946, 18(60), 237–280 (in Russian)

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