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A Second Note on Ingham's Summation Method
Published online by Cambridge University Press: 20 November 2018
Extract
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.
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- Copyright © Canadian Mathematical Society 1979