On zeros of cubic L-functions

 
 
 
 

On zeros of cubic L-functions

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Title: On zeros of cubic L-functions
Author: Xia, Honggang
Description: 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.
Permanent Link: http://rave.ohiolink.edu/etdc/view?acc_num=osu1148497121
http://hdl.handle.net/2374.OX/5697
Date: 2006

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