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Permanent link (DOI): https://doi.org/10.7939/R3JW86V0H

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Jacobi Theta and Dedekind Eta Function Identities Via Geometrical Lattice Equivalence Open Access

Descriptions

Other title
Subject/Keyword
geometric lattice equivalence
Jacobi Theta function
Dedekind Eta Function
Type of item
Thesis
Degree grantor
University of Alberta
Author or creator
Sebestyen, Mark D.
Supervisor and department
Gannon, Terry (Mathematics)
Examining committee member and department
Bowman, John (Mathematics)
Bouchard, Vincent (Mathematics)
Creutzig, Thomas (Mathematics)
Gannon, Terry (Mathematics)
Department
Department of Mathematical and Statistical Sciences
Specialization

Date accepted
2013-12-23T13:11:05Z
Graduation date
2014-06
Degree
Master of Science
Degree level
Master's
Abstract
Geometrical lattice equivalences are used to generate over 100 new quadratic identities involving classical modular forms, Jacobi theta functions, θ2, θ3, θ4, and the Dedekind eta function η. Generalizations are examined and a seemingly new observation on the nature of η is noted.
Language
English
DOI
doi:10.7939/R3JW86V0H
Rights
Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of these terms. The author reserves all other publication and other rights in association with the copyright in the thesis and, except as herein before provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.
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