Low moments of Dirichlet series

Hugh L. Montgomery (1) , Gérald Tenenbaum (2)

1 Department of Mathematics - University of Michigan
2 IECL - Institut Élie Cartan de Lorraine

We determine the maximum possible size of the q th moment of a Dirichlet series, for 1 6 q 6 2.

Mots clés: Dirichlet series; Multiplicative function

Domaines: Théorie des nombres [math.NT]

Hugh L. Montgomery, Gérald Tenenbaum. Low moments of Dirichlet series. Acta Mathematica Academiae Scientiarum Hungaricae, 2014, 144 (2), pp.425 - 432. ⟨10.1007/s10474-014-0457-6⟩. ⟨hal-01097691⟩