Extension of zeta function \(\zeta\) (2m) (Q2640644)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extension of zeta function \(\zeta\) (2m) |
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Extension of zeta function \(\zeta\) (2m) (English)
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1990
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For an even integer n the authors evaluate the Fourier expansion of the function \(f_ n(x)=\sum^{n/2}_{m=1}x^{2m}\) at the endpoint \(x=\pi\), and they assert that the resulting formula is related to \(\zeta\) (n). The paper is badly printed. A line seems to be missing in the statement of the main theorem.
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Riemann zeta-function
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Fourier expansion
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value of \(\zeta \) (2n)
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