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Dal'nevostochnyi Matematicheskii Zhurnal, 2011, Volume 11, Number 2, Pages 140–148 (Mi dvmg217)  
This article is cited in 6 scientific papers (total in 6 papers)

The arithmetic nature of the triple and quintuple product identities

N. V. Budarina, V. A. Bykovskii

Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences, Khabarovsk
Full-text PDF (335 kB) Citations (6)
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Abstract: In this paper the new proof is suggested for decomposition of twisted with quadratic characters modulo 4 and 3 theta-functions to the infinite product. It is based on the Euler's method of logarithmic derivation and the elementary arithmetic concepts.
Key words: theta-function, Liouville identities, infinite product.
Received: 14.09.2011
Document Type: Article
UDC: 519.116, 511.556
MSC: Primary 11F20; Secondary 11F27
Language: Russian
Citation: N. V. Budarina, V. A. Bykovskii, “The arithmetic nature of the triple and quintuple product identities”, Dal'nevost. Mat. Zh., 11:2 (2011), 140–148
Citation in format AMSBIB
\Bibitem{BudByk11}
\by N.~V.~Budarina, V.~A.~Bykovskii
\paper The arithmetic nature of the triple and quintuple product identities
\jour Dal'nevost. Mat. Zh.
\yr 2011
\vol 11
\issue 2
\pages 140--148
\mathnet{http://mi.mathnet.ru/dvmg217}
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  • https://www.mathnet.ru/eng/dvmg/v11/i2/p140
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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