An approximation of the Hurwitz zeta function by a finite sum
We obtain the following version of the approximation of the Hurwitz zeta-function. Let σ ≥ 0 and |t| ≤ π x. Then ζ(s, α) = ∑0 ≤ n ≤ x 1/(n + α)s +{ (x + α)1−s}/(s − 1) + Θ ({7√2π−1 + 3}/xσ).
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2003-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Online Access: | https://www.journals.vu.lt/LMR/article/view/32314 |
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