Accession Number:

AD0742061

Title:

Partial Fraction Expansion of the Theta Function.

Descriptive Note:

Final rept.,

Corporate Author:

NAVAL RESEARCH LAB WASHINGTON D C MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1972-04-04

Pagination or Media Count:

12.0

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

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE