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On Ingham's Summation Method
Published online by Cambridge University Press: 20 November 2018
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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.)
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- Copyright © Canadian Mathematical Society 1966
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