This article is cited in 2 papers

Buchstaber Formal Group and Elliptic Functions of Small Levels

A. V. Ustinov<sup>ab

a</sup> 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.

UDC: 512.741+517.583

Received: 16.10.2016
Revised: 23.01.2017

DOI: 10.4213/mzm11417

 English version: Mathematical Notes, 2017, 102:1, 81–91

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