Some simple algorithms for the evaluations and representations of the Riemann zeta function at positive integer arguments (Q1577933)

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scientific article; zbMATH DE number 1496297
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Some simple algorithms for the evaluations and representations of the Riemann zeta function at positive integer arguments
scientific article; zbMATH DE number 1496297

    Statements

    Some simple algorithms for the evaluations and representations of the Riemann zeta function at positive integer arguments (English)
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    27 November 2000
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    hypergeometric series
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    Gauss' summation theorem
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    Wallis' integral formula
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    Dixon's summation theorem
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    Bernoulli polynomials
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    Bernoulli numbers
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    Euler's formula
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    Mellin transform
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    Wilton's formula
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    Lerch's transcendent
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    Basler problem
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    Riemann zeta-function
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    evaluations
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    representations
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