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Matematicheskie Zametki, 2019, Volume 105, Issue 6, Pages 899–910
DOI: https://doi.org/10.4213/mzm11805 (Mi mzm11805) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On Formal Buchstaber Groups of Special Form

A. V. Ustinovab

a Pacific National University, Khabarovsk
b Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences
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DOI: https://doi.org/10.4213/mzm11805
Abstract: A complete description of Buchstaber formal groups
$$ F(u,v)=\frac{u^2 A(v)-v^2 A(u)}{uB(v)-vB(u)}\mspace{2mu}, $$
in which the series $A(x)$ and $B(x)$ satisfy the relation $A(x)^\ell=B(x)^m$, is given. A new family of Buchstaber formal groups depending on two algebraically independent parameters is obtained.
Keywords: formal groups, addition theorems, elliptic functions.
Funding agency Grant number
Russian Foundation for Basic Research ОФИ-М 16-51-55017-ГФЕН
Ministry of Science and Higher Education of the Russian Federation 1.557.2016/1.4
This work was supported by the Ministry of Education and Science of the Russian Federation (grant no. 1.557.2016/1.4) and by the Russian Foundation for Basic Research under grant OFI-M 16-51-55017-GFEN).
Received: 21.09.2017
English version:
Mathematical Notes, 2019, Volume 105, Issue 6, Pages 894–904
DOI: https://doi.org/10.1134/S0001434619050274
Bibliographic databases:
Document Type: Article
UDC: 512.741+517.583
Language: Russian
Citation: A. V. Ustinov, “On Formal Buchstaber Groups of Special Form”, Mat. Zametki, 105:6 (2019), 899–910; Math. Notes, 105:6 (2019), 894–904
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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