Leikin Dmitrii Viktorovich

Publications in Math-Net.Ru

1. On Regularization of Second Kind Integrals
   
   SIGMA, 14 (2018), 074, 28 pp.
2. Solution of the Problem of Differentiation of Abelian Functions over Parameters for Families of $(n,s)$-Curves
   
   Funktsional. Anal. i Prilozhen., 42:4 (2008),  24–36
3. Differentiation of Abelian functions with respect to parameters
   
   Uspekhi Mat. Nauk, 62:4(376) (2007),  153–154
4. Functional equations defining multiplication in a continuous Krichever–Novikov basis
   
   Uspekhi Mat. Nauk, 61:1(367) (2006),  171–172
5. Trilinear functional equations
   
   Uspekhi Mat. Nauk, 60:2(362) (2005),  151–152
6. Addition Laws on Jacobian Varieties of Plane Algebraic Curves
   
   Trudy Mat. Inst. Steklova, 251 (2005),  54–126
7. Heat Equations in a Nonholonomic Frame
   
   Funktsional. Anal. i Prilozhen., 38:2 (2004),  12–27
8. Egorov Hydrodynamic Chains, the Chazy Equation, and $SL(2,\mathbb{C})$
   
   Funktsional. Anal. i Prilozhen., 37:4 (2003),  13–26
9. Polynomial Lie Algebras
   
   Funktsional. Anal. i Prilozhen., 36:4 (2002),  18–34
10. Lie algebras associated with $\sigma$-functions, and versal deformations
    
    Uspekhi Mat. Nauk, 57:3(345) (2002),  145–146
11. The manifold of solutions of the equation $\biggl[\dfrac{\partial^2}{\partial u_1\partial u_2}-6\wp_{1,2}(u_1,u_2)+E\biggr]\psi=0$
    
    Uspekhi Mat. Nauk, 56:6(342) (2001),  141–142
12. Uniformization of Jacobi Varieties of Trigonal Curves and Nonlinear Differential Equations
    
    Funktsional. Anal. i Prilozhen., 34:3 (2000),  1–16
13. Rational Analogs of Abelian Functions
    
    Funktsional. Anal. i Prilozhen., 33:2 (1999),  1–15
14. $\sigma$-functions of $(n,s)$-curves
    
    Uspekhi Mat. Nauk, 54:3(327) (1999),  155–156
15. A Recursive Family of Differential Polynomials Generated by the Sylvester Identity and Addition Theorems for Hyperelliptic Kleinian Functions
    
    Funktsional. Anal. i Prilozhen., 31:4 (1997),  19–33
16. A matrix realization of the Kummer hyperelliptic varieties
    
    Uspekhi Mat. Nauk, 51:2(308) (1996),  147–148
17. On the Weierstrass cubic for hyperelliptic functions
    
    Uspekhi Mat. Nauk, 50:6(306) (1995),  191–192