The dimensions of spaces of holomorphic second-order cusp forms with characters
Publication Date
July 19, 2012
Creator
Abstract
To each pair of characters $(\chi,\psi)$ on a Fuchsian group of the first kind we associate a space of functions generalizing the space of second--order cusp forms. We determine the dimensions of these spaces and construct explicit bases. We separate two cases according to the weight. The first case deals with weight higher than 2 whilst the second deals with the more complicated case of weight 2.
An application of these results to Percolation Theory is provided in the last section.
Item Type
ethesis
Thesis Type
PhD
Supervisors
Subjects (LC)
Associated Schools / Departments
School of Mathematical Sciences (UK)
eprints ID
12546
UoN Repository URI
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