|
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
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.
Received: 21.09.2017
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
Linking options:
https://www.mathnet.ru/eng/mzm11805https://doi.org/10.4213/mzm11805 https://www.mathnet.ru/eng/mzm/v105/i6/p899
|
Statistics & downloads: |
Abstract page: | 335 | Full-text PDF : | 32 | References: | 47 | First page: | 15 |
|