Date of Award
5-2012
Document Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Legacy Department
Number Theory
Committee Chair/Advisor
James, Kevin
Committee Member
Brown , Jim
Committee Member
Calkin , Neil
Abstract
This thesis is a presentation of some of my research activities while at Clemson University. In particular this includes joint work on the factorization of eigenforms and their relationship to Rankin- Selberg L-values, and nearly holomorphic eigenforms. The main tools used on the factorization of eigenforms are linear algebra, the j function, and the Rankin-Selberg Method. The main tool used on nearly holomorphic modular forms is the Rankin-Cohen bracket operator.
Recommended Citation
Beyerl, Jeff, "On factoring Hecke eigenforms, nearly holomorphic modular forms, and applications to L-values" (2012). All Dissertations. 891.
https://tigerprints.clemson.edu/all_dissertations/891