On the order of <span class="mathjax-formula">$\zeta (\frac{1}{2} + it)$</span>

We shall denote by Li(G) the Banach algebra of bounded Radon measures on G which are absolutely continuous with respect to the Haar measure of G; X(G)cL,(G) will denote the space

Using the congruence formula with the classical L-functions, Goss has provided [G4] lower bounds for orders of vanishing of these zeta functions at the negative

elementary method to give a sharper asymptotic formula for the first power mean of the inversion of Dirichlet’s L-functions.. This paper, using the elementary method and

We denote by Z the connected component of the center of G. Z is naturally isomorphic to GL1. 03C02) is an irreducible cuspidal automorphic representation of

Toute utilisation commerciale ou impression systématique est constitutive d’une infrac- tion pénale.. Toute copie ou impression de ce fichier doit contenir la présente mention

Toute utilisation commerciale ou impression systématique est constitutive d’une infrac- tion pénale.. Toute copie ou impression de ce fichier doit contenir la présente mention

Toute utili- sation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit conte- nir la présente mention

Thus our result can be used in adaptive estimation of quadratic functionals in a density model (see for example [4] where white noise is treated), where the theory needs good bounds