Theses and Dissertations - UTB/UTPA
Date of Award
Master of Science (MS)
Dr. Tim Huber
Dr. Sean Lawton
Dr. Eleftherios Gkioulekas
In this thesis, a systematic procedure is given for generating cubic multi-sections of Eisenstein series. The relevant series are determined from Fourier expansions for Eisenstein series by restricting the congruence class of the summation index modulo three. The resulting series are shown to be rational functions of the Dedekind eta function. A more general treatment of cubic dissection formulas is given by describing the dissection operators in terms of linear transformations.
University of Texas-Pan American
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