Kan Igor' Davidovich

Publications in Math-Net.Ru

1. Around Zaremba's conjecture
   
   Mat. Zametki, 117:5 (2025),  680–686
2. Reachability of inequalities from Lame's theorem
   
   Dal'nevost. Mat. Zh., 24:1 (2024),  45–54
3. Modular Generalization of the Bourgain–Kontorovich Theorem
   
   Mat. Zametki, 114:5 (2023),  739–752
4. System of Inequalities in Continued Fractions from Finite Alphabets
   
   Mat. Zametki, 113:2 (2023),  197–206
5. Strengthening of the Burgein–Kontorovich theorem on small values of Hausdorff dimension
   
   Funktsional. Anal. i Prilozhen., 56:1 (2022),  66–80
6. Linear Inhomogeneous Congruences in Continued Fractions on Finite Alphabets
   
   Mat. Zametki, 112:3 (2022),  412–425
7. The derivative of the Minkowski function
   
   Izv. RAN. Ser. Mat., 85:4 (2021),  5–52
8. Inversions of Hölder's Inequality
   
   Mat. Zametki, 110:5 (2021),  704–714
9. Stationary points of the Minkowski function
   
   Mat. Sb., 212:10 (2021),  3–15
10. A strengthening of the Bourgain-Kontorovich method: three new theorems
    
    Mat. Sb., 212:7 (2021),  39–83
11. A strengthening the one of a theorem of Bourgain – Kontorovich
    
    Dal'nevost. Mat. Zh., 20:2 (2020),  164–190
12. Differentiability of the Minkowski function $?(x)$. II
    
    Izv. RAN. Ser. Mat., 83:5 (2019),  53–87
13. Differentiability of the Minkowski $?(x)$-function. III
    
    Mat. Sb., 210:8 (2019),  87–119
14. Is Zaremba's conjecture true?
    
    Mat. Sb., 210:3 (2019),  75–130
15. Linear Congruences in Continued Fractions on Finite Alphabets
    
    Mat. Zametki, 103:6 (2018),  853–862
16. A strengthening of a theorem of Bourgain and Kontorovich. V
    
    Trudy Mat. Inst. Steklova, 296 (2017),  133–139
17. A strengthening of a theorem of Bourgain and Kontorovich. IV
    
    Izv. RAN. Ser. Mat., 80:6 (2016),  103–126
18. Inversion of the Cauchy–Bunyakovskii–Schwarz Inequality
    
    Mat. Zametki, 99:3 (2016),  361–365
19. A strengthening of a theorem of Bourgain and Kontorovich. III
    
    Izv. RAN. Ser. Mat., 79:2 (2015),  77–100
20. A strengthening of a theorem of Bourgain and Kontorovich
    
    Izv. RAN. Ser. Mat., 78:2 (2014),  87–144
21. A strengthening of a theorem of Bourgain–Kontorovich II
    
    Moscow J. Combin. Number Theory, 4:1 (2014),  78–117
22. Quantitative generalizations of Niederreiter's results on continued fractions
    
    Chebyshevskii Sb., 12:1 (2011),  100–119
23. Methods for estimating of continuants
    
    Fundam. Prikl. Mat., 16:6 (2010),  95–108
24. The Frobenius Problem for Classes of Polynomial Solvability
    
    Mat. Zametki, 70:6 (2001),  845–853
25. Refining of the comparison rule for continuants
    
    Diskr. Mat., 12:3 (2000),  72–75
26. Representation of numbers by linear forms
    
    Mat. Zametki, 68:2 (2000),  210–216
27. On a problem of Frobenius
    
    Fundam. Prikl. Mat., 3:3 (1997),  821–835
28. Frobenius problem for three arguments
    
    Mat. Zametki, 62:4 (1997),  626–629
29. On an embedding theorem for Möbius functions
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1993, no. 3,  82–84
30. Möbius functions of the union of partial orders
    
    Diskr. Mat., 3:2 (1991),  121–127