Partial Fraction Expansion of the Theta Function.
Abstract
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 04, 1972
- Accession Number
- AD0742061
Entities
People
- Richard F. Arenstorf
Organizations
- United States Naval Research Laboratory