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Journal of the London Mathematical Society 1999 59(2):637-646; doi:10.1112/S0024610799007292
© 1999 by London Mathematical Society
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© The London Mathematical Society

An Application of Network Flows to Rearrangement of Series

C. St J. A. Nash-Williams and D. J. White

Department of Mathematics, University of Reading Whiteknights, PO Box 220, Reading RG6 6AX C.S.A.Nash-Williams{at}reading.ac.uk
Department of Mathematics, University of Reading Whiteknights, PO Box 220, Reading RG6 6AX d.j.white{at}reading.ac.uk

Received 4 May 1996.

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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