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Mat. Zametki, 2017, Volume 102, Issue 1, Pages 96–108 (Mi mz11417)  

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

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).


DOI: https://doi.org/10.4213/mzm11417

Full text: PDF file (523 kB)
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English version:
Mathematical Notes, 2017, 102:1, 81–91

Bibliographic databases:

UDC: 512.741+517.583
Received: 16.10.2016
Revised: 23.01.2017

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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\pages 96--108
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\pages 81--91
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  • https://doi.org/10.4213/mzm11417
  • http://mi.mathnet.ru/eng/mz/v102/i1/p96

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. V. Ustinov, “On Formal Buchstaber Groups of Special Form”, Math. Notes, 105:6 (2019), 894–904  mathnet  crossref  crossref  isi  elib
    2. E. Yu. Bunkova, “Universal Formal Group for Elliptic Genus of Level $N$”, Proc. Steklov Inst. Math., 305 (2019), 33–52  mathnet  crossref  crossref  mathscinet  isi  elib
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