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Selberg's integral and linear forms in zeta values. - MaRDI portal

Selberg's integral and linear forms in zeta values. (Q1414348)

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scientific article; zbMATH DE number 2006433
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Selberg's integral and linear forms in zeta values.
scientific article; zbMATH DE number 2006433

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    Selberg's integral and linear forms in zeta values. (English)
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    20 November 2003
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    By using Selberg's integral, the author presents several Euler-type integral representations of certain nearly-poised hypergeometric series. These integrals are also shown to produce linear forms in odd and/or even zeta values that generalize previous work of the author [C. R. Acad. Sci., Paris, Sér. I, Math. 331, 267--270 (2000; Zbl 0973.11072); \textit{T. Rivoal} and \textit{W. Zudilin}, Math. Ann. 326, 705--721 (2003; Zbl 1028.11046)].
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    Selberg's integral
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    zeta function
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