[PDF.91xp] Hypergeometrie Et Fonction Zeta De Riemann (Memoirs of the American Mathematical Society) (French Edition)

Hypergeometrie Et Fonction Zeta De Riemann (Memoirs of the American Mathematical Society) (French Edition)

[PDF.eo71] Hypergeometrie Et Fonction Zeta De Riemann (Memoirs of the American Mathematical Society) (French Edition)

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 | #13300664 in Books |  2007-02-07 |  2007-02-07 | Original language:French | PDF # 1 |  9.50 x6.75 x.25l,.44 | File type: PDF | 87 pages

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The authors prove Rivoal's "denominator conjecture" concerning the common denominators of coefficients of certain linear forms in zeta values. These forms were recently constructed to obtain lower bounds for the dimension of the vector space over $\mathbb Q$ spanned by $1,\zeta(m),\zeta(m+2),\dots,\zeta(m+2h)$, where $m$ and $h$ are integers such that $m\ge2$ and $h\ge0$. In particular, the authors immediately get the following results as corollaries: at least one of the...

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