Partial Fraction Expansion of the Theta Function.
NAVAL RESEARCH LAB WASHINGTON D C MATHEMATICS RESEARCH CENTER
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A representation by a summable, analytic Eisenstein series is given for the standard Jacobian theta function. The result extends the known convergent Eisenstein series representations of the kth powers of the theta function for k 4,..., 8, due essentially to Hardy, to the case k 1 by introducing a suitable summability method. Author
- Numerical Mathematics