Coefficient rings of Tate formal groups determining Krichever genera
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebra, geometry, and number theory, Tome 292 (2016), pp. 43-68

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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 $3$.
@article{TM_2016_292_a3,
     author = {E. Yu. Bunkova and V. M. Buchstaber and A. V. Ustinov},
     title = {Coefficient rings of {Tate} formal groups determining {Krichever} genera},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {43--68},
     publisher = {mathdoc},
     volume = {292},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2016_292_a3/}
}
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E. Yu. Bunkova; V. M. Buchstaber; A. V. Ustinov. Coefficient rings of Tate formal groups determining Krichever genera. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebra, geometry, and number theory, Tome 292 (2016), pp. 43-68. http://geodesic.mathdoc.fr/item/TM_2016_292_a3/