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Title: The dimensions of spaces of holomorphic second-order cusp forms with characters
Author: Blann, Thomas
ISNI:       0000 0004 2726 7784
Awarding Body: University of Nottingham
Current Institution: University of Nottingham
Date of Award: 2012
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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.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA299 Analysis