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Dal'nevostochnyi Matematicheskii Zhurnal, 2013, Volume 13, Number 1, Pages 15–34 (Mi dvmg247)  
This article is cited in 4 scientific papers (total in 4 papers)

On the arithmetic nature of some identities of the elliptic functions theory

V. A. Bykovskiia, M. D. Moninaab

a Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences
b Far-Eastern State University of Humanities
Full-text PDF (183 kB) Citations (4)
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Abstract: The article offers a new arithmetic method of proof of the classical triple, quintuple and octuple product identities of the theta functions theory.
Key words: theta function, Liouville's identity, infinite product.
Received: 01.03.2013
Document Type: Article
UDC: 519.11, 511.556
MSC: Primary 11F20; Secondary 11F27
Language: Russian
Citation: V. A. Bykovskii, M. D. Monina, “On the arithmetic nature of some identities of the elliptic functions theory”, Dal'nevost. Mat. Zh., 13:1 (2013), 15–34
Citation in format AMSBIB
\Bibitem{BykMon13}
\by V.~A.~Bykovskii, M.~D.~Monina
\paper On the arithmetic nature of some identities of the elliptic functions theory
\jour Dal'nevost. Mat. Zh.
\yr 2013
\vol 13
\issue 1
\pages 15--34
\mathnet{http://mi.mathnet.ru/dvmg247}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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