Geodesic
On Ingham's Summation Method
Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 97-105

Voir la notice de l'article provenant de la source Cambridge University Press

Ingham (2) has defined the following summation method. A series ∑ an will be called summable (I) to s if where as usual [x] is the greatest integer ⩽ x. (An equivalent method was described somewhat earlier by Wintner (7), who called it “an Eratosthenian method“; however, the notation (I) and the name “Ingham summability” introduced by Hardy (1) seem to have become usual.) 
Segal, S. L. On Ingham's Summation Method. Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 97-105. doi: 10.4153/CJM-1966-013-6
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[1] 1. Hardy, G. H., Divergent series (Oxford, 1949). Google Scholar

[2] 2. Ingham, A. E., Some Tauberian theorems connected with the prime number theorem, J. London Math. Soc, 20 (1945), 171–180. Google Scholar

[3] 3. Landau, E., Handbuch derLehre von der Verteilung der Primzahlen (New York, 1953). Google Scholar

[4] 4. Pennington, W. B., On Ingham summability and summability by Lambert series, Proc. Camb. Philos. Soc., 51, (1955), 65–80. Google Scholar

[5] 5. Rajagopal, C. T., A note on Ingham summability and summability by Lambert series, Proc. Indian Acad. Sci., A42, (1955), 41–50. Google Scholar

[6] 6. Rubel, L. A., An Abelian theorem for number-theoretic sums, Acta Arith., 6 (1960), 175–177, Correction Acta Arith., 6 (1961), 523. Google Scholar

[7] 7. Wintner, A., Eratosthenian averages (Baltimore, 1943). Google Scholar

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