La fonction Zeta de Riemann prend une infinite de valeurs irrationnelles aux entiers impairs
Rivoal, Tanguy
HAL, hal-00125108 / Harvested from HAL
Text on HAL
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.
Publié le : 2000-07-05
Classification:  [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT] 
@article{hal-00125108,
     author = {Rivoal, Tanguy},
     title = {La fonction Zeta de Riemann prend une infinite de valeurs irrationnelles aux entiers impairs},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/hal-00125108}
}

Rivoal, Tanguy. La fonction Zeta de Riemann prend une infinite de valeurs irrationnelles aux entiers impairs. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00125108/