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AN APPLICATION OF NETWORK FLOWS TO REARRANGEMENT OF SERIES

Published online by Cambridge University Press:  01 April 1999

C. St J. A. NASH-WILLIAMS  and
D. J. WHITE
C. St J. A. NASH-WILLIAMS
Affiliation:
Department of Mathematics, University of Reading, Whiteknights, PO Box 220, Reading RG6 6AX; [email protected], [email protected]
D. J. WHITE
Affiliation:
Department of Mathematics, University of Reading, Whiteknights, PO Box 220, Reading RG6 6AX; [email protected], [email protected]
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Abstract

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.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 59 , Issue 2 , April 1999 , pp. 637 - 646
Copyright
The London Mathematical Society 1999

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