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On zeros of cubic L-functions

by Xia, Honggang

Abstract (Summary)
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.
Bibliographical Information:

Advisor:

School:The Ohio State University

School Location:USA - Ohio

Source Type:Master's Thesis

Keywords:zero density theorem large sieve

ISBN:

Date of Publication:01/01/2006

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