Zeros of cubic Eisenstein series

Authors

Sahak D. Sandragorsian, University of Texas-Pan American

Date of Award

8-2015

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

Dr. Timothy Huber

Second Advisor

Dr. Andras Balogh

Third Advisor

Dr. Zaosheng Feng

Abstract

This thesis provides a detailed exposition and extension of the work of F. K. C. Rankin and Swinnerton-Dyer on the location of the zeros of Eisenstein series for SL(2,Z). Exact values of the zeros in special cases will be given in terms of modular functions. Analogous new results on zeros of cubic Eisenstein series will be presented.

Comments

Copyright 2015 Sahak D. Sandragorsian. All Rights Reserved.

https://www.proquest.com/dissertations-theses/zeros-cubic-eisenstein-series/docview/1734467220/se-2?accountid=7119

Granting Institution

University of Texas-Pan American