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

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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.

Thesis Files