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osu1148497121.pdf (226.08 KB)
ETD Abstract Container
Abstract Header
On zeros of cubic L-functions
Author Info
Xia, Honggang
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=osu1148497121
Abstract Details
Year and Degree
2006, Doctor of Philosophy, Ohio State University, Mathematics.
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.
Committee
Wenzhi Luo (Advisor)
Subject Headings
Mathematics
Keywords
zero density theorem
;
large sieve
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Citations
Xia, H. (2006).
On zeros of cubic L-functions
[Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1148497121
APA Style (7th edition)
Xia, Honggang.
On zeros of cubic L-functions.
2006. Ohio State University, Doctoral dissertation.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=osu1148497121.
MLA Style (8th edition)
Xia, Honggang. "On zeros of cubic L-functions." Doctoral dissertation, Ohio State University, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=osu1148497121
Chicago Manual of Style (17th edition)
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Document number:
osu1148497121
Download Count:
1,704
Copyright Info
© 2006, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.