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On the Convergence of a certain Multiple Series

Published online by Cambridge University Press:  24 October 2008

L. J. Mordell
L. J. Mordell
Affiliation:
formerly of St John's College
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Extract

Any one who has dealt with the convergence of multiple series soon becomes aware that simple and interesting examples are very scarce. It may therefore be worth while placing on record the following result which is not altogether trivial.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 25 , Issue 4 , October 1929 , pp. 407 - 409
Copyright
Copyright © Cambridge Philosophical Society 1929

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References

* Prof Littlewood, to whom I mentioned the series, sent me a neater solution obtained by splitting S 3 say, into partial series whose limits of summation are of the type l≥m≥n etc.