Reduction Formulae for Products of Theta Functions

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 ap...

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Detalles Bibliográficos
Autor principal: Walker, P. L.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: [Gaithersburg, MD] : U.S. Dept. of Commerce, National Institute of Standards and Technology 2012
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4553875/
https://www.ncbi.nlm.nih.gov/pubmed/26900529
http://dx.doi.org/10.6028/jres.117.017
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author Walker, P. L.
author_facet Walker, P. L.
author_sort Walker, P. L.
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description 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.
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spelling pubmed-45538752016-02-19 Reduction Formulae for Products of Theta Functions Walker, P. L. J Res Natl Inst Stand Technol Article 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. [Gaithersburg, MD] : U.S. Dept. of Commerce, National Institute of Standards and Technology 2012-09-06 /pmc/articles/PMC4553875/ /pubmed/26900529 http://dx.doi.org/10.6028/jres.117.017 Text en https://creativecommons.org/publicdomain/zero/1.0/ The Journal of Research of the National Institute of Standards and Technology is a publication of the U.S. Government. The papers are in the public domain and are not subject to copyright in the United States. Articles from J Res may contain photographs or illustrations copyrighted by other commercial organizations or individuals that may not be used without obtaining prior approval from the holder of the copyright.
spellingShingle Article
Walker, P. L.
Reduction Formulae for Products of Theta Functions
title Reduction Formulae for Products of Theta Functions
title_full Reduction Formulae for Products of Theta Functions
title_fullStr Reduction Formulae for Products of Theta Functions
title_full_unstemmed Reduction Formulae for Products of Theta Functions
title_short Reduction Formulae for Products of Theta Functions
title_sort reduction formulae for products of theta functions
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4553875/
https://www.ncbi.nlm.nih.gov/pubmed/26900529
http://dx.doi.org/10.6028/jres.117.017
work_keys_str_mv AT walkerpl reductionformulaeforproductsofthetafunctions

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