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La fonction Zeta de Riemann prend une infinite de valeurs irrationnelles aux entiers impairs

Tanguy Rivoal
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Abstract

We provide a lower bound for the dimension of the vector space spanned by 1 and by the values of the Riemann Zeta function at the first odd integers. As a consequence, the Zeta function takes infinitely many irrational values at odd integers.

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Tanguy Rivoal. 2000-08-07. La fonction Zeta de Riemann prend une infinite de valeurs irrationnelles aux entiers impairs. https://doi.org/10.1016/s0764-4442(00)01624-4

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