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Reduction Formulae for Products of Theta Functions



Peter L. Walker


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.
Journal of Research (NIST JRES) - 117.017
Report Number


Jacobian theta functions, especially products, normalizing factors


Walker, P. (2012), Reduction Formulae for Products of Theta Functions, Journal of Research (NIST JRES), National Institute of Standards and Technology, Gaithersburg, MD, [online], (Accessed June 19, 2024)


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Created November 6, 2012, Updated November 10, 2018