AN APPLICATION OF NETWORK FLOWS TO REARRANGEMENT OF SERIES

AN APPLICATION OF NETWORK FLOWS TO REARRANGEMENT OF SERIES

For each permutation f of the set of positive integers, all triples s, t, u are determined such that t and u are the lower and upper limits of the sequence of partial sums of the ‘f-rearrangement’ [sum ]af(n) of some real series [sum ]an with sum s.

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Veröffentlicht in:Journal of the London Mathematical Society 1999-04, Vol.59 (2), p.637-646
Hauptverfasser: NASH-WILLIAMS, C. St J. A., WHITE, D. J.
Format: Artikel
Sprache:eng
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Zusammenfassung:For each permutation f of the set of positive integers, all triples s, t, u are determined such that t and u are the lower and upper limits of the sequence of partial sums of the ‘f-rearrangement’ [sum ]af(n) of some real series [sum ]an with sum s.
ISSN:0024-6107
1469-7750
DOI:10.1112/S0024610799007292