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

  • Geometric lattice equivalence
  • Dedekind Eta Function
  • Jacobi Theta function

• Graduation date

  Spring 2014

• 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.