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Matematicheskie Zametki, 2017, Volume 102, Issue 1, Pages 96–108
DOI: https://doi.org/10.4213/mzm11417 (Mi mzm11417) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Buchstaber Formal Group and Elliptic Functions of Small Levels

A. V. Ustinovab

a Pacific National University, Khabarovsk
b Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences
Full-text PDF (523 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm11417
Abstract: In the paper, we suggest a method for finding relations concerning series defining the Buchstaber formal group. This method is applied to the cases in which the exponent of the group is an elliptic function of level $n=2,3$, and $4$. An algebraic relation for the series defining the universal Buchstaber formal group is also proved.
Keywords: formal groups, additivity theorems, elliptic functions.
Funding agency Grant number
Russian Foundation for Basic Research ОФИ-М 16-51-55017-ГФЕН
Government of Khabarovsk Territory
This work was supported by the Russian Foundation for Basic Research under grant OFI-M 16-51-55017-GFEN and by the Government of the Khabarovsk Territory (Decree as of 29.06.2016 no. 479-RP).
Received: 16.10.2016
Revised: 23.01.2017
English version:
Mathematical Notes, 2017, Volume 102, Issue 1, Pages 81–91
DOI: https://doi.org/10.1134/S0001434617070094
Bibliographic databases:
Document Type: Article
UDC: 512.741+517.583
Language: Russian
Citation: A. V. Ustinov, “Buchstaber Formal Group and Elliptic Functions of Small Levels”, Mat. Zametki, 102:1 (2017), 96–108; Math. Notes, 102:1 (2017), 81–91
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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