Walker, P.
(2012),
Reduction Formulae for Products of Theta Functions, Journal of Research (NIST JRES), National Institute of Standards and Technology, Gaithersburg, MD, [online], https://doi.org/10.6028/jres.117.017
(Accessed April 24, 2024)
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Reduction Formulae for Products of Theta Functions
Published
Author(s)
Peter L. Walker
Abstract
In four cases it is already known that the product of two distinct Jacobian theta functions having the same variable z and the same nome q is a multiple of a single Jacobian theta function, with the multiple independent of z. The main purpose of the present note is to show that this property also applies in the remaining two cases.Citation
Journal of Research (NIST JRES) - 117.017
Report Number
117.017
NIST Pub Series
Pub Type
NIST Pubs
Download Paper
Keywords
Jacobian theta functions, especially products, normalizing factors
Citation
Created November 6, 2012, Updated November 10, 2018