Display Full Text | Download Full Text
226.07 kB PDF file

Degree

Doctor of Philosophy, Ohio State University, Mathematics, 2006.

Abstract

We study the distribution of zeros of cubic L-functions and obtain a zero density theorem by large sieve method. Estimation on the moments of corresponding L-functions and class numbers of a certain type of number fields are followed as applications of the density theorem. Main tools are Heath-Brown's large sieve type inequality on cubic characters and Patterson's work on cubic Gauss sums.

Subject Headings

Mathematics

Keywords

zero density theorem; large sieve

Advisor

Wenzhi Luo

Document number: osu1148497121
Permalink: http://rave.ohiolink.edu/etdc/view?acc_num=osu1148497121

This ETD has been downloaded 845 times (through March 2013)