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Kan, Igor' Davidovich
Statistics Math-Net.Ru
Total publications: 30
Scientific articles: 30
Presentations: 6

Number of views:
This page:1811
Abstract pages:9632
Full texts:3402
References:1140
Associate professor
Candidate of physico-mathematical sciences
E-mail:
Website: http://mai311.ru/?page_id=18

https://www.mathnet.ru/eng/person18898
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/316098
https://elibrary.ru/author_items.asp?authorid=15788

Publications in Math-Net.Ru Citations
2024
1. I. D. Kan, “Reachability of inequalities from Lame's theorem”, Dal'nevost. Mat. Zh., 24:1 (2024),  45–54  mathnet
2023
2. I. D. Kan, “Modular Generalization of the Bourgain–Kontorovich Theorem”, Mat. Zametki, 114:5 (2023),  739–752  mathnet  mathscinet; Math. Notes, 114:5 (2023), 785–796  scopus
3. I. D. Kan, G. Kh. Solov'ev, “System of Inequalities in Continued Fractions from Finite Alphabets”, Mat. Zametki, 113:2 (2023),  197–206  mathnet; Math. Notes, 113:2 (2023), 212–219  scopus
2022
4. I. D. Kan, “Strengthening of the Burgein–Kontorovich theorem on small values of Hausdorff dimension”, Funktsional. Anal. i Prilozhen., 56:1 (2022),  66–80  mathnet; Funct. Anal. Appl., 56:1 (2022), 48–60  scopus 4
5. I. D. Kan, V. A. Odnorob, “Linear Inhomogeneous Congruences in Continued Fractions on Finite Alphabets”, Mat. Zametki, 112:3 (2022),  412–425  mathnet  mathscinet; Math. Notes, 112:3 (2022), 424–435  scopus 1
2021
6. D. R. Gaifulin, I. D. Kan, “The derivative of the Minkowski function”, Izv. RAN. Ser. Mat., 85:4 (2021),  5–52  mathnet  elib; Izv. Math., 85:4 (2021), 621–665  isi  scopus 4
7. I. D. Kan, V. A. Odnorob, “Inversions of Hölder's Inequality”, Mat. Zametki, 110:5 (2021),  704–714  mathnet  elib; Math. Notes, 110:5 (2021), 700–708  isi  scopus
8. D. R. Gayfulin, I. D. Kan, “Stationary points of the Minkowski function”, Mat. Sb., 212:10 (2021),  3–15  mathnet  mathscinet; Sb. Math., 212:10 (2021), 1347–1359  isi  scopus 2
9. I. D. Kan, “A strengthening of the Bourgain-Kontorovich method: three new theorems”, Mat. Sb., 212:7 (2021),  39–83  mathnet  elib; Sb. Math., 212:7 (2021), 921–964  isi  scopus 6
2020
10. I. D. Kan, “A strengthening the one of a theorem of Bourgain – Kontorovich”, Dal'nevost. Mat. Zh., 20:2 (2020),  164–190  mathnet 5
2019
11. I. D. Kan, “Differentiability of the Minkowski function $?(x)$. II”, Izv. RAN. Ser. Mat., 83:5 (2019),  53–87  mathnet  mathscinet  elib; Izv. Math., 83:5 (2019), 957–989  isi  scopus 3
12. I. D. Kan, “Differentiability of the Minkowski $?(x)$-function. III”, Mat. Sb., 210:8 (2019),  87–119  mathnet  mathscinet  elib; Sb. Math., 210:8 (2019), 1148–1178  isi  scopus 4
13. I. D. Kan, “Is Zaremba's conjecture true?”, Mat. Sb., 210:3 (2019),  75–130  mathnet  mathscinet  elib; Sb. Math., 210:3 (2019), 364–416  isi  scopus 8
2018
14. I. D. Kan, “Linear Congruences in Continued Fractions on Finite Alphabets”, Mat. Zametki, 103:6 (2018),  853–862  mathnet  mathscinet  elib; Math. Notes, 103:6 (2018), 911–918  isi  scopus 4
2017
15. I. D. Kan, “A strengthening of a theorem of Bourgain and Kontorovich. V”, Trudy Mat. Inst. Steklova, 296 (2017),  133–139  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 296 (2017), 125–131  isi  scopus 10
2016
16. I. D. Kan, “A strengthening of a theorem of Bourgain and Kontorovich. IV”, Izv. RAN. Ser. Mat., 80:6 (2016),  103–126  mathnet  mathscinet  elib; Izv. Math., 80:6 (2016), 1094–1117  isi  scopus 13
17. I. D. Kan, “Inversion of the Cauchy–Bunyakovskii–Schwarz Inequality”, Mat. Zametki, 99:3 (2016),  361–365  mathnet  mathscinet  elib; Math. Notes, 99:3 (2016), 378–381  isi  scopus 4
2015
18. I. D. Kan, “A strengthening of a theorem of Bourgain and Kontorovich. III”, Izv. RAN. Ser. Mat., 79:2 (2015),  77–100  mathnet  mathscinet  zmath  elib; Izv. Math., 79:2 (2015), 288–310  isi  scopus 12
2014
19. I. D. Kan, D. A. Frolenkov, “A strengthening of a theorem of Bourgain and Kontorovich”, Izv. RAN. Ser. Mat., 78:2 (2014),  87–144  mathnet  mathscinet  zmath  elib; Izv. Math., 78:2 (2014), 293–353  isi  scopus 16
20. D. A. Frolenkov, I. D. Kan, “A strengthening of a theorem of Bourgain–Kontorovich II”, Moscow J. Combin. Number Theory, 4:1 (2014),  78–117  mathnet  mathscinet  zmath
2011
21. I. D. Kan, N. A. Krotkova, “Quantitative generalizations of Niederreiter's results on continued fractions”, Chebyshevskii Sb., 12:1 (2011),  100–119  mathnet  mathscinet
2010
22. I. D. Kan, “Methods for estimating of continuants”, Fundam. Prikl. Mat., 16:6 (2010),  95–108  mathnet  mathscinet; J. Math. Sci., 182:4 (2012), 508–517  scopus 9
2001
23. I. D. Kan, “The Frobenius Problem for Classes of Polynomial Solvability”, Mat. Zametki, 70:6 (2001),  845–853  mathnet  mathscinet  zmath; Math. Notes, 70:6 (2001), 771–778  isi 1
2000
24. I. D. Kan, “Refining of the comparison rule for continuants”, Diskr. Mat., 12:3 (2000),  72–75  mathnet  mathscinet  zmath; Discrete Math. Appl., 10:5 (2000), 477–480 7
25. I. D. Kan, “Representation of numbers by linear forms”, Mat. Zametki, 68:2 (2000),  210–216  mathnet  mathscinet  zmath; Math. Notes, 68:2 (2000), 185–190  isi 3
1997
26. I. D. Kan, “On a problem of Frobenius”, Fundam. Prikl. Mat., 3:3 (1997),  821–835  mathnet  mathscinet  zmath 5
27. I. D. Kan, B. S. Stechkin, I. V. Sharkov, “Frobenius problem for three arguments”, Mat. Zametki, 62:4 (1997),  626–629  mathnet  mathscinet  zmath; Math. Notes, 62:4 (1997), 521–523  isi 4
1993
28. I. D. Kan, “On an embedding theorem for Möbius functions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1993, no. 3,  82–84  mathnet  mathscinet  zmath
1991
29. I. D. Kan, “Möbius functions of the union of partial orders”, Diskr. Mat., 3:2 (1991),  121–127  mathnet  mathscinet  zmath

Presentations in Math-Net.Ru
1. Гипотеза Зарембы и круговой метод
I. D. Kan

November 7, 2022 17:10   
2. Проблемы теории чисел, связанные с цепными дробями или с континуантами
I. D. Kan
Contemporary Problems in Number Theory
November 18, 2021 12:45   
3. Задачи теории чисел, связанные с цепными дробями или континуантами II
I. D. Kan
Contemporary Problems in Number Theory
October 12, 2017 12:45
4. Задачи теории чисел, связанные с цепными дробями или континуантами
I. D. Kan
Contemporary Problems in Number Theory
October 5, 2017 12:45
5. Дальнейшие продвижения в проблеме Зарембы II
I. D. Kan
Contemporary Problems in Number Theory
October 6, 2016 12:45
6. Дальнейшие продвижения в проблеме Зарембы
I. D. Kan
Contemporary Problems in Number Theory
September 29, 2016 12:45

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