5 Lower Bounds for Moments of L - Functions
نویسندگان
چکیده
Abstract. The moments of central values of families of L-functions have recently attracted much attention and, with the work of Keating and Snaith, there are now precise conjectures for their limiting values. We develop a simple method to establish lower bounds of the conjectured order of magnitude for several such families of L-functions. As an example we work out the case of the family of all Dirichlet L-functions to a prime modulus. Resumé. Les moments des valeurs centrales des familles de fonctions L, ont suscité beaucoup d’intêret recemment et, aprés le travail de Keating et Snaith, il y a maintenant des conjectures prcises sur leur valeur. Nous developpons une technique simple pour établir des bornes inférieures sur l’ordre de grandeur conjecturé de plusieurs familles de fonctions L. Un exemple est de considérer la famille des fonctions L de Dirichlet de conducteur premier.
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