On zeros of cubic L-functions

✍ Scribed by Honggang Xia

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 163 KB
• Volume: 124
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1016/j.jnt.2006.10.006

✦ Synopsis

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.