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A series for ζ(s)
Published online by Cambridge University Press: 20 January 2009
Extract
We obtain a series representation for ζ(s) valid in Res> – k(<0). This representation is obtained by a sequence of regrouping of the series 1–2−s + 3−s–4−s + …( = (1—21−s)ζ(s), Re s > 0). We can obtain asymptotic relations like
as an application of our series representation for ζ(s).
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- Research Article
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- Copyright © Edinburgh Mathematical Society 1988
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