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Publication Citation: Reduction Formulae for Products of Theta Functions

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Author(s): Peter L. Walker;
Title: Reduction Formulae for Products of Theta Functions
Published: November 06, 2012
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
Keywords: Jacobian theta functions, especially products; normalizing factors
Research Areas: Math
DOI: http://dx.doi.org/10.6028/jres.117.017