Periods of modular forms and central values of L-functions

Periods of modular forms and central values of L-functions

This thesis is comprised of three problems in number theory. The introduction is Chapter 1. The first problem is to partially generalize the main theorem of Gross, Kohnen and Zagier to higher weight modular forms. In Chapter 2, we present two conjectures which do this and some partial results to...

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Bibliographic Details
Main Author: Hopkins, Kimberly Michele
Format: Others
Language:English
Published: 2010
Subjects:
Modular forms
Heegner points
L-functions
Shimura correspondence
Genus
Class field theory
Quaternions
Hecke L-series
Online Access:http://hdl.handle.net/2152/ETD-UT-2010-05-1423

Internet

http://hdl.handle.net/2152/ETD-UT-2010-05-1423

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