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Buchstaber formal group and elliptic functions of small levels

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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.

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Authors and Affiliations

  1. Pacific National University, Khabarovsk, Russia

    A. V. Ustinov

  2. Khabarovsk Division of the Institute for Applied Mathematics, Far-Eastern Branch, Russian Academy of Sciences, Khabarovsk, Russia

    A. V. Ustinov

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  1. A. V. Ustinov
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Correspondence to A. V. Ustinov.

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Original Russian Text © A. V. Ustinov, 2017, published in Matematicheskie Zametki, 2017, Vol. 102, No. 1, pp. 96–108.

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Ustinov, A.V. Buchstaber formal group and elliptic functions of small levels. Math Notes 102, 81–91 (2017). https://doi.org/10.1134/S0001434617070094

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  • DOI: https://doi.org/10.1134/S0001434617070094

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