Mathematics – Number Theory
Scientific paper
2000-08-07
Mathematics
Number Theory
4 pages (french), accepted for publication (Comptes rendus de l'Academie des sciences de Paris)
Scientific paper
10.1016/S0764-4442(00)01624-4
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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