Zeros of Moments of Characteristic Polynomials of Random Matrices
| Author/creator | Rottenberk, Elizabeth Lynn author |
| Other author | Baluyot, Sieg degree supervisor. |
| Other author | East Carolina University |
| Format | Theses and dissertations |
| Publication | [Greenville, N.C.] : [East Carolina University 2026.] |
| Description | 119 pages |
| Supplemental Content | Access via ScholarShip |
| Summary | This thesis explores the zeros of moments of characteristic polynomials of random matrices from the unitary group U(N). Historically, these moments have been used to model the behavior of moments of the Riemann zeta function, which is an important function in number theory. We study the distribution of the zeros of this model of the 2kth moment of zeta as a function of y, both for specific small values of N and as N approaches infinity. To do this, we evaluate this model for such N. |
| Dissertation note | East Carolina University 2026. |
| Bibliography note | Includes bibliographical references. |
| Technical details | System requirements: Adobe Reader. |
| Technical details | Mode of access: World Wide Web. |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | Access Content Online | ✔ Available |