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A Second Note on Ingham's Summation Method

Published online by Cambridge University Press:  20 November 2018

S. L. Segal
S. L. Segal*
Affiliation:
Department of Mathematics, The University of Rochester Rochester, New York 14627
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A series ∑ an is said to be summable (I) to the limit A if

(*)

Clearly the limit is the same whether x→∞ through all real values or only positive integer values, and the expression whose limit is being taken can also be expressed in the two equivalent forms

where [x] is the greatest integer ≤x.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 22 , Issue 1 , 01 March 1979 , pp. 117 - 120
Copyright
Copyright © Canadian Mathematical Society 1979

References

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