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A note on convergence factors

Published online by Cambridge University Press:  20 January 2009

W. H. J. Fuchs
W. H. J. Fuchs
Affiliation:
King's College, Aberdeen.
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In this note denotes a divergent series of positive, decreasing terms for which are real numbers (convergence factors) such that is convergent. We put

H. Rademacher has shown that

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 7 , Issue 1 , October 1942 , pp. 27 - 30
Copyright
Copyright © Edinburgh Mathematical Society 1942

References

1 Math. Zeitschrift, 11 (1921), 276.CrossRefGoogle Scholar