
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