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100.04 Converses of a ‘curious’ theorem of Cesàro on conditionally convergent series

Published online by Cambridge University Press:  14 March 2016

J. R. Nurcombe*
Affiliation:
8 Marcliff Crescent, Shirley, Solihull, West Midlands B90 1LU

Abstract

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Type
Notes
Copyright
Copyright © Mathematical Association 2016 

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References

1.Bromwich, T. J. I'A., An Introduction to the Theory of Infinite Series, (2nd edn.) (Cambridge) 1926.Google Scholar
2.Hardy, G. H., Note on a theorem of Cesàro, Messenger of Mathematics, 41 (1912) pp. 1722.Google Scholar
3.Hardy, G. H., Collected Papers, Volume VI, Clarendon Press, Oxford, (1974).Google Scholar
4.Rademacher, H., On the asymptotic distribution of certain convergence factors, (in German), Mathematische Zeitschrift 11 (1921) pp. 276288.Google Scholar
5.Knopp, K., Theory and Application of Infinite Series, Hafner (1971).Google Scholar
6.Durell, C. V. and Robson, A., Advanced Algebra, Vol. II Bell and Sons, London (1962).Google Scholar