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) : Arenstorf,Richard F.

Report Date : 04 APR 1972

Pagination or Media Count : 12

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)

Descriptors :   (*COMPLEX VARIABLES, SERIES(MATHEMATICS)), MEROMORPHIC FUNCTIONS, EXPONENTIAL FUNCTIONS, CONVERGENCE, INTEGRALS, THEOREMS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE