A Second Note on Ingham's Summation Method
Canadian mathematical bulletin, Tome 22 (1979) no. 1, pp. 117-120

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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.
Segal, S. L. A Second Note on Ingham's Summation Method. Canadian mathematical bulletin, Tome 22 (1979) no. 1, pp. 117-120. doi: 10.4153/CMB-1979-019-2
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