The 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 , introduced by it, are investigated.
@article{bwmeta1.element.doi-10_2478_s11533-012-0156-x,
author = {Roman Witu\l a},
title = {Permutations preserving sums of rearranged real series},
journal = {Open Mathematics},
volume = {11},
year = {2013},
pages = {956-965},
zbl = {1276.40001},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0156-x}
}
Roman Wituła. Permutations preserving sums of rearranged real series. Open Mathematics, Tome 11 (2013) pp. 956-965. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0156-x/
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