Usage
  • 48 views
  • 95 downloads

Jacobi Theta and Dedekind Eta Function Identities Via Geometrical Lattice Equivalence

  • Author / Creator
    Sebestyen, Mark D.
  • 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.

  • Subjects / Keywords
  • Graduation date
    2014-06
  • Type of Item
    Thesis
  • Degree
    Master of Science
  • DOI
    https://doi.org/10.7939/R3JW86V0H
  • License
    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
    English
  • Institution
    University of Alberta
  • Degree level
    Master's
  • Department
    • Department of Mathematical and Statistical Sciences
  • Supervisor / co-supervisor and their department(s)
    • Gannon, Terry (Mathematics)
  • Examining committee members and their departments
    • Creutzig, Thomas (Mathematics)
    • Bouchard, Vincent (Mathematics)
    • Bowman, John (Mathematics)
    • Gannon, Terry (Mathematics)