22 citations · 50 across the 12 of their papers we have counts for
14 papers
Polynomial vector fields in determining differentiation of hyperelliptic functions of any genus
E. Yu. Bunkova
In this work we give direct proofs of two theorems concerning explicitly defined polynomial vector fields connected to differentiation of hyperelliptic functions of any genus. We p…
Polynomial Dynamical Systems and Differentiation of Genus 4 Hyperelliptic Functions
E. Yu. Bunkova
We give an explicit solution to the problem of differentiation of hyperelliptic functions in genus 4 case. We describe explicitly the polynomial Lie algebras and polynomial dynamic…
Rings of Coefficients of Universal Formal Groups for Elliptic Genus of Level N
E. Yu. Bunkova
The paper is devoted to problems at the intersection of formal group theory, the theory of Hirzebruch genera, and the theory of elliptic functions. The elliptic function of level N…
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…
Differentiation of Genus Hyperelliptic Functions
V. M. Buchstaber, E. Yu. Bunkova
In this work we give an explicit solution to the problem of differentiation of hyperelliptic functions in genus case. It is a genus analogue of the classical result of F. G…