The dimensions of spaces of holomorphic second-order cusp forms with characters

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The dimensions of spaces of holomorphic second-order cusp forms with characters

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...

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Bibliographic Details
Main Author:	Blann, Thomas
Format:	Thesis (University of Nottingham only)
Language:	English
Published:	2012
Online Access:	https://eprints.nottingham.ac.uk/12546/

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