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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

Keywords

Jacobian theta functions, especially products, normalizing factors

Citation

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 June 19, 2024)

Issues

If you have any questions about this publication or are having problems accessing it, please contact reflib@nist.gov.

Created November 6, 2012, Updated November 10, 2018