Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1892680 | Journal of Geometry and Physics | 2015 | 13 Pages |
Abstract
This paper is an annotated list of transformation properties and identities satisfied by the four theta functions θ1, θ2, θ3, θ4 of one complex variable, presented in a ready-to-use form. An attempt is made to reveal a pattern behind various identities for the theta-functions. It is shown that all possible 3, 4 and 5-term identities of degree four emerge as algebraic consequences of the six fundamental bilinear 3-term identities connecting the theta-functions with modular parameters Ï and 2Ï.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
S. Kharchev, A. Zabrodin,