On one generalization of the modular transformation of the theta function
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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.
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References
- Lykov A. V. Theory of Heat Conduction. GTTI, 1952.
- Jacobi S. G. Journal of Pure and Applied Mathematics, V. III, 1828.
- Jacobi C. G. Coll. of Works. V. I, 1881.
- Landsberg Journal of Pure and Applied Mathematics, B. CXI, 1893.
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