German Oleg Nikolaevich

Publications in Math-Net.Ru

1. An analogue of Mahler's transference theorem for multiplicative Diophantine approximation
   
   Dokl. RAN. Math. Inf. Proc. Upr., 510 (2023),  18–22
2. On the transference principle and Nesterenko's linear independence criterion
   
   Izv. RAN. Ser. Mat., 87:2 (2023),  56–68
3. Geometry of Diophantine exponents
   
   Uspekhi Mat. Nauk, 78:2(470) (2023),  71–148
4. Diophantine exponents of lattices and the growth of higher-dimensional analogues of partial quotients
   
   Mat. Sb., 214:3 (2023),  71–84
5. Symmetries of a two-dimensional continued fraction
   
   Izv. RAN. Ser. Mat., 85:4 (2021),  53–68
6. Linear forms of a given Diophantine type and lattice exponents
   
   Izv. RAN. Ser. Mat., 84:1 (2020),  5–26
7. Diophantine exponents of lattices
   
   Sovrem. Probl. Mat., 23 (2016),  35–42
8. A strengthening of Mahler's transference theorem
   
   Izv. RAN. Ser. Mat., 79:1 (2015),  63–76
9. Badly approximable matrices and Diophantine exponents
   
   Chebyshevskii Sb., 14:4 (2013),  38–79
10. Transference inequalities for multiplicative Diophantine exponents
    
    Trudy Mat. Inst. Steklova, 275 (2011),  227–239
11. Application of Spectral Theory to Constructing a Puzzle on the Basis of the Minesweeper Computer Game
    
    Mat. Zametki, 88:6 (2010),  935–937
12. Proof of the Faugère Criterion for the F5 Algorithm
    
    Mat. Zametki, 88:4 (2010),  502–510
13. On a multidimensional generalization of Lagrange's theorem on continued fractions
    
    Izv. RAN. Ser. Mat., 72:1 (2008),  51–66
14. Klein polyhedra and relative minima of lattices
    
    Mat. Zametki, 79:4 (2006),  546–552
15. Sails and norm minima of lattices
    
    Mat. Sb., 196:3 (2005),  31–60
16. Asymptotic Directions for Best Approximations of $n$-Dimensional Linear Forms
    
    Mat. Zametki, 75:1 (2004),  55–70
17. Sails and Hilbert Bases
    
    Trudy Mat. Inst. Steklova, 239 (2002),  98–105


18. Alexander Ivanovich Galochkin (on the 80-th anniversary of his birth)
    
    Chebyshevskii Sb., 25:2 (2024),  20–28