34 citations · 88 across the 17 of their papers we have counts for
5 papers · 1 filter
Hyperelliptic sigma functions and Adler-Moser polynomials
V. M. Buchstaber, E. Yu. Bunkova
In a 2004 paper by V. M. Buchstaber and D. V. Leykin, published in "Functional Analysis and Its Applications," for each , a system of multidimensional heat equations in…
Sigma functions and Lie algebras of Schrödinger operators
V. M. Buchstaber, E. Yu. Bunkova
In the work by V. M. Buchstaber and D. V. Leikin for any is defined a system of multidimensional Schrödinger equations in magnetic fields with quadratic potentials. Th…
Lie Algebras of Heat Operators in Nonholonomic Frame
V. M. Buchstaber, E. Yu. Bunkova
Lie algebras of systems of graded heat conduction operators , where , determining sigma functions of genus , and hyperel…
Multi-Dimensional Sigma-Functions
V. M. Buchstaber, V. Z. Enolski, D. V. Leykin
In 1997 the present authors published a review (Ref. BEL97 in the present manuscript) that recapitulated and developed classical theory of Abelian functions realized in terms of mu…
Elliptic formal group laws, integral Hirzebruch genera and Krichever genera
Victor M. Buchstaber, Elena Yu. Bunkova
We consider the geometrical addition law on the elliptic curve in Tate coordinates. It corresponds to the general formal group law over the ring of polynomials with integer coeffic…