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Type of Document	Dissertation
Author	Achimescu, Sever
Author's Email Address	sever AT its.caltech.edu
URN	etd-04272005-172254
Persistent URL	http://resolver.caltech.edu/CaltechETD:etd-04272005-172254
Title	Hilbert modular forms of weight 1/2
Degree	PhD
Option	Mathematics
Advisory Committee	Advisor Name Title Dinakar Ramakrishnan Committee Chair David J. Wales Committee Member Matthias Flach Committee Member Nathan M. Dunfield Committee Member
Keywords	Hilbert modular forms of half integral weight
Date of Defense	2004-09-27
Availability	unrestricted
Abstract NOTE: Text or symbols not renderable in plain ASCII are indicated by [...]. Abstract is included in .pdf document. Let [...] be the space of Hilbert modular forms of half integral weight of all levels N and characters X. We denote by [...] a periodic function of period N. Let [theta] be the C-linear space of the functions [...], [...] where, for each f, [...] runs through a finite subset of totally positive integers of F. Main Theorem. H = [theta] Using this theorem, for some fixed F's, an explicit basis can be found. Some examples are given in Chapter 4.
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