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Hilbert modular forms of weight 1/2

Citation

Achimescu, Sever (2005) Hilbert modular forms of weight 1/2. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd-04272005-172254

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.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Hilbert modular forms of half integral weight
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Mathematics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Ramakrishnan, Dinakar
Thesis Committee:
  • Ramakrishnan, Dinakar (chair)
  • Wales, David B.
  • Flach, Matthias
  • Dunfield, Nathan M.
Defense Date:27 September 2004
Author Email:sever (AT) its.caltech.edu
Record Number:CaltechETD:etd-04272005-172254
Persistent URL:http://resolver.caltech.edu/CaltechETD:etd-04272005-172254
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1520
Collection:CaltechTHESIS
Deposited By: Imported from ETD-db
Deposited On:02 May 2005
Last Modified:26 Dec 2012 02:38

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