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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Volume 292, Pages 43–68
DOI: https://doi.org/10.1134/S0371968516010040 (Mi tm3694) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Coefficient rings of Tate formal groups determining Krichever genera

E. Yu. Bunkovaa, V. M. Buchstaberab, A. V. Ustinovcd

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
b Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow, Russia
c Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Khabarovsk, Russia
d Pacific National University, Khabarovsk, Russia
Full-text PDF (327 kB) Citations (6)
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DOI: https://doi.org/10.1134/S0371968516010040
Abstract: The paper is devoted to problems at the intersection of formal group theory, the theory of Hirzebruch genera, and the theory of elliptic functions. In the focus of our interest are Tate formal groups corresponding to the general five-parametric model of the elliptic curve as well as formal groups corresponding to the general four-parametric Krichever genus. We describe coefficient rings of formal groups whose exponentials are determined by elliptic functions of levels $2$ and $3$.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00012-а
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Russian Science Foundation 14-11-00335
E.Yu. Bunkova's research was supported by the Russian Foundation for Basic Research (project no. 14-01-00012-a) and by the program “Fundamental Problems of Nonlinear Dynamics” of the Presidium of the Russian Academy of Sciences. A.V. Ustinov's research (Sections 8, 12, 14, and 15) was supported by the Russian Science Foundation under grant 14-11-00335.
Received: November 6, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2016, Volume 292, Pages 37–62
DOI: https://doi.org/10.1134/S0081543816010041
Bibliographic databases:
Document Type: Article
UDC: 512.741+517.583
Language: Russian
Citation: E. Yu. Bunkova, V. M. Buchstaber, A. V. Ustinov, “Coefficient rings of Tate formal groups determining Krichever genera”, Algebra, geometry, and number theory, Collected papers. Dedicated to Academician Vladimir Petrovich Platonov on the occasion of his 75th birthday, Trudy Mat. Inst. Steklova, 292, MAIK Nauka/Interperiodica, Moscow, 2016, 43–68; Proc. Steklov Inst. Math., 292 (2016), 37–62
Citation in format AMSBIB
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\paper Coefficient rings of Tate formal groups determining Krichever genera
\inbook Algebra, geometry, and number theory
\bookinfo Collected papers. Dedicated to Academician Vladimir Petrovich Platonov on the occasion of his 75th birthday
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\pages 43--68
\publ MAIK Nauka/Interperiodica
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  • https://doi.org/10.1134/S0371968516010040
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    • This publication is cited in the following 6 articles:
    1. Malkhaz Bakuradze, Alexander Gamkrelidze, “On classifying map of the integral Krichever–Hoehn formal group law”, Georgian Mathematical Journal, 30:1 (2023), 47  crossref
    2. A. V. Ustinov, “On Formal Buchstaber Groups of Special Form”, Math. Notes, 105:6 (2019), 894–904  mathnet  crossref  crossref  mathscinet  isi  elib
    3. 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
    4. Elena Yu. Bunkova, “Hirzebruch functional equation: classification of solutions”, Proc. Steklov Inst. Math., 302 (2018), 33–47  mathnet  crossref  crossref  mathscinet  isi  elib
    5. A. V. Ustinov, “Buchstaber Formal Group and Elliptic Functions of Small Levels”, Math. Notes, 102:1 (2017), 81–91  mathnet  crossref  crossref  mathscinet  isi  elib
    6. E. Yu. Bunkova, “Elliptic function of level $4$”, Proc. Steklov Inst. Math., 294 (2016), 201–214  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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