@inproceedings{d21071fcb62c485db9fae7b1d3df3c9a,

title = "Addition Theorems, Formal Group Laws and Integrable Systems",

abstract = "We consider elliptic curves, given in the Weierstrass parametrization by the equation y2+μ1xy+μ3y = x3+μ2x2+μ4x+μ6. In Tate coordinates t = -x/y and s = -1/y, the geometric addition laws on this curves correspond to the general elliptic formal group law over the ring Z[μ1,μ2,μ3,μ4,μ6]. This formal group law is well-known in the number theory and cryptography. One can find this law in recent works on the theory of elliptic functions and algebraic topology. In the focus of our interest are questions, important from the point of view of Hirzebruch genera and the theory of integrable systems (see references).",

keywords = "differential equations for exponentials, elliptic functions, formal group laws",

author = "Buchstaber, {V. M.} and Bunkova, {E. Yu}",

year = "2010",

doi = "10.1063/1.3527423",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

pages = "33--43",

editor = "Piotr Kielanowski and Theodore Voronov and Martin Schlichenmaier and Anatol Odzijewicz and Piotr Kielanowski and Victor Buchstaber",

booktitle = "XXIX Workshop on Geometric Methods in Physics, WGMP 2010",

note = "29th Workshop on Geometric Methods in Physics, WGMP 2010 ; Conference date: 27-06-2010 Through 03-07-2010",

}