Jacobi Theta and Dedekind Eta Function Identities Via Geometrical Lattice Equivalence
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http://id.loc.gov/authorities/names/n79058482
Degree Level
Master's
Degree
Master of Science
Department
Department of Mathematical and Statistical Sciences
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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.
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http://purl.org/coar/resource_type/c_46ec
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This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for non-commercial purposes. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.
Language
en