Article ID Journal Published Year Pages File Type
4595314 Journal of Number Theory 2007 14 Pages PDF
Abstract

In this paper we obtain a zero density theroem for Hecke L-functions associated to cubic characters by Heath-Brown's large sieve type inequality. Using Patterson's result on cubic Gauss sums we also have the moments estimate for corresponding L-functions. Distribution of class numbers of a family of degree 6 fields over Q is obtained as an application of the main results.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory