Identities involving series of the Riemann zeta function (Q1296541)

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scientific article; zbMATH DE number 1319738
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Identities involving series of the Riemann zeta function
scientific article; zbMATH DE number 1319738

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    Identities involving series of the Riemann zeta function (English)
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    12 February 2000
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    Starting from infinite product expansions for \(\sin z\), \(\cos z\), \(\sinh z\), and \(\cosh z\) for special values of \(z\), and using a logarithmic form of Stirling's formula, the authors derive various identities relating Euler's constant with values of the Riemann zeta-function at positive integers.
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    infinite product expansions
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    Stirling's formula
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    identities
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    Euler's constant
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    Riemann zeta-function at positive integers
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