On one generalization of the modular transformation of the theta function
Authors:
Abstract
The above transformation of series expressing theta functions has been well known for a long time. It was obtained by Jacobi in 1828 and is related to his studies on the theory of elliptic functions.
Область исследования:
(Archived) Without section
Funding:
None
References
- Lykov A. V. Theory of Heat Conduction. GTTI, 1952. (in Russian)
- Jacobi С. G. Journal für die reine und angewandte Mathematik , V. III, 1828.
- Jacobi C. G. Coll. of Works. V. I, 1881.
- Landsberg Journal für die reine und angewandte Mathematik , V. CXI, 1893.