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Dal'nevostochnyi Matematicheskii Zhurnal, 2011, Volume 11, Number 2, Pages 140–148
(Mi dvmg217)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/dvmg217 https://www.mathnet.ru/eng/dvmg/v11/i2/p140
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Abstract page: | 624 | Full-text PDF : | 216 | References: | 85 | First page: | 1 |
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