Theses and Dissertations - UTB/UTPA
Date of Award
Master of Science (MS)
Dr. Timothy Huber
Dr. Sean Lawton
Dr. Virgil Pierce
In this thesis, we show that Classical representations for certain modular forms have symmetric form. These symmetric formulations are interpreted in terms of more general balanced homogeneous polynomial representations resulting from a permutative action of Hecke congruence subgroups on quotients of theta functions. For prime levels between 5 and 19, sets of permuted theta quotients are constructed that generate the corresponding vector spaces of modular forms of weight one.
University of Texas-Pan American
Copyright 2014 Esteban J. Melendez. All Rights Reserved.