Dichotomy between structure and randomness in combinatorial number theory
Abstract/Contents
- Abstract
- This dissertation is about exploring the dichotomy between structure and randomness in analytic number theory and additive combinatorics. We explore various problems including bounds for character sums, Goldbach-type questions, and a Freiman-type result.
Description
| Type of resource | text |
|---|---|
| Form | electronic; electronic resource; remote |
| Extent | 1 online resource. |
| Publication date | 2014 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Associated with | Shao, Xuancheng |
|---|---|
| Associated with | Stanford University, Department of Mathematics. |
| Primary advisor | Soundararajan, Kannan, 1973- |
| Thesis advisor | Soundararajan, Kannan, 1973- |
| Thesis advisor | Chatterjee, Sourav |
| Thesis advisor | Venkatesh, Akshay, 1981- |
| Advisor | Chatterjee, Sourav |
| Advisor | Venkatesh, Akshay, 1981- |
Subjects
| Genre | Theses |
|---|
Bibliographic information
| Statement of responsibility | Xuancheng Shao. |
|---|---|
| Note | Submitted to the Department of Mathematics. |
| Thesis | Thesis (Ph.D.)--Stanford University, 2014. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2014 by Xuancheng Shao
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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