On zeros of cubic L-functions Original Research Article

In this paper we obtain a zero density theroem for Hecke L-functions associated to cubic characters by Heath-Brownʹs large sieve type inequality. Using Pattersonʹs 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.