Evaluations of Derivatives of Jacobi Theta Functions in the origin

Details Evaluations of Derivatives of Jacobi Theta Functions in the origin Evaluations of Derivatives of Jacobi Theta Functions in the origin

2011-05-28

arxiv.org/abs/1105.6279v1

Mathematics

General Mathematics

9 pages

Scientific paper

In this article using Ramanujan's theory of Eisenstein series we evaluate
completely the derivatives of the theta functions $\vartheta_1^{(2\nu+1)}(z)$
and $\vartheta_4^{(2\nu)}(z)$ in the origin in closed polynomials forms using
only the first three Eisenstein series of weights 2,4, and 6.

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