Edit Profile (opens in new tab) Kan, Igor D. Co-Author Distance Author ID: kan.igor-d Published as: Kan, I. D.; Kan, Igor D.; Kan, Igor’ D. more...less Documents Indexed: 37 Publications since 1991, including 6 Additional arXiv Preprints Co-Authors: 10 Co-Authors with 17 Joint Publications 82 Co-Co-Authors all top 5 Co-Authors 20 single-authored 6 Frolenkov, Dmitriĭ Andreevich 3 Moshchevitin, Nikolay G. 2 Gayfulin, Dmitry R. 2 Krotkova, Natalia A. 2 Odnorob, V. A. 1 Chaika, Jonathan 1 Dushistova, Anna A. 1 Sharkov, I. V. 1 Solovyov, G. Kh. 1 Stechkin, Boris Sergeevich all top 5 Serials 9 Mathematical Notes 5 Izvestiya: Mathematics 4 Sbornik: Mathematics 1 Journal of Mathematical Analysis and Applications 1 Moscow University Mathematics Bulletin 1 Functional Analysis and its Applications 1 Diskretnaya Matematika 1 Discrete Mathematics and Applications 1 Journal of Mathematical Sciences (New York) 1 Fundamental’naya i Prikladnaya Matematika 1 Chebyshevskiĭ Sbornik 1 Proceedings of the Steklov Institute of Mathematics 1 Uniform Distribution Theory 1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 1 Moscow Journal of Combinatorics and Number Theory Fields 32 Number theory (11-XX) 7 Real functions (26-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 2 Combinatorics (05-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 24 Publications have been cited 157 times in 53 Documents Cited by ▼ Year ▼ A strengthening of a theorem of Bourgain-Kontorovich. II. Zbl 1371.11113 Frolenkov, Dmitrii A.; Kan, Igor D. 21 2014 Differentiability of the Minkowski question mark function. Zbl 1337.11007 Dushistova, Anna A.; Kan, Igor D.; Moshchevitin, Nikolay G. 16 2013 A strengthening of a theorem of Bourgain and Kontorovich. Zbl 1350.11006 Kan, I. D.; Frolenkov, D. A. 15 2014 A strengthening of a theorem of Bourgain and Kontorovich. IV. Zbl 1378.11076 Kan, Igor’ D. 13 2016 A strengthening of a theorem of Bourgain and Kontorovich. V. Zbl 1371.11114 Kan, Igor D. 11 2017 A strengthening of a theorem of Bourgain and Kontorovich. III. Zbl 1319.11047 Kan, I. D. 11 2015 Is Zaremba’s conjecture true? Zbl 1437.11010 Kan, I. D. 8 2019 Approximations to two real numbers. Zbl 1249.11064 Kan, Igor D.; Moshchevitin, Nikolay G. 8 2010 A refinement of the rule of comparing continuants. Zbl 0987.11005 Kan, I. D. 7 2000 Methods for estimating continuants. Zbl 1273.11110 Kan, I. D. 6 2012 A strengthening of the Bourgain-Kontorovich method: three new theorems. Zbl 1481.11073 Kan, I. D. 6 2021 A strengthening the one of a theorem of Bourgain-Kontorovich. Zbl 1469.11233 Kan, I. D. 5 2020 Frobenius problem for three arguments. Zbl 0919.11023 Kan, I. D.; Stechkin, B. S.; Sharkov, I. V. 4 1997 Inversion of the Cauchy-Bunyakovskii-Schwarz inequality. Zbl 1350.26034 Kan, Igor D. 4 2016 On a problem of Frobenius. Zbl 0941.11011 Kan, I. D. 3 1997 Differentiability of the Minkowski \(?(x)\)-function. III. Zbl 1457.11012 Kan, I. D. 3 2019 Differentiability of the Minkowski function \(?(x)\). II. Zbl 1457.11013 Kan, I. D. 3 2019 Strengthening of the Bourgain-Kontorovich theorem on small values of Hausdorff dimension. Zbl 1502.11085 Kan, I. D. 3 2022 Linear congruences in continued fractions on finite alphabets. Zbl 1439.11023 Kan, Igor D. 3 2018 Stationary points of the Minkowski function. Zbl 1492.11010 Gayfulin, D. R.; Kan, I. D. 2 2021 The derivative of the Minkowski function. Zbl 1527.11059 Gayfulin, D. R.; Kan, I. D. 2 2021 Quantitative generalizations of Niederreiter’s results on continued fractions. Zbl 1318.11099 Kan, I. D.; Krotkova, N. A. 1 2011 On Minkowski diagonal functions for two real numbers. Zbl 1296.11091 Kan, Igor D.; Moshchevitin, Nikolay G.; Chaika, Jonathan 1 2011 Linear inhomogeneous congruences in continued fractions on finite alphabets. Zbl 1504.11080 Kan, I. D.; Odnorob, V. A. 1 2022 Strengthening of the Bourgain-Kontorovich theorem on small values of Hausdorff dimension. Zbl 1502.11085 Kan, I. D. 3 2022 Linear inhomogeneous congruences in continued fractions on finite alphabets. Zbl 1504.11080 Kan, I. D.; Odnorob, V. A. 1 2022 A strengthening of the Bourgain-Kontorovich method: three new theorems. Zbl 1481.11073 Kan, I. D. 6 2021 Stationary points of the Minkowski function. Zbl 1492.11010 Gayfulin, D. R.; Kan, I. D. 2 2021 The derivative of the Minkowski function. Zbl 1527.11059 Gayfulin, D. R.; Kan, I. D. 2 2021 A strengthening the one of a theorem of Bourgain-Kontorovich. Zbl 1469.11233 Kan, I. D. 5 2020 Is Zaremba’s conjecture true? Zbl 1437.11010 Kan, I. D. 8 2019 Differentiability of the Minkowski \(?(x)\)-function. III. Zbl 1457.11012 Kan, I. D. 3 2019 Differentiability of the Minkowski function \(?(x)\). II. Zbl 1457.11013 Kan, I. D. 3 2019 Linear congruences in continued fractions on finite alphabets. Zbl 1439.11023 Kan, Igor D. 3 2018 A strengthening of a theorem of Bourgain and Kontorovich. V. Zbl 1371.11114 Kan, Igor D. 11 2017 A strengthening of a theorem of Bourgain and Kontorovich. IV. Zbl 1378.11076 Kan, Igor’ D. 13 2016 Inversion of the Cauchy-Bunyakovskii-Schwarz inequality. Zbl 1350.26034 Kan, Igor D. 4 2016 A strengthening of a theorem of Bourgain and Kontorovich. III. Zbl 1319.11047 Kan, I. D. 11 2015 A strengthening of a theorem of Bourgain-Kontorovich. II. Zbl 1371.11113 Frolenkov, Dmitrii A.; Kan, Igor D. 21 2014 A strengthening of a theorem of Bourgain and Kontorovich. Zbl 1350.11006 Kan, I. D.; Frolenkov, D. A. 15 2014 Differentiability of the Minkowski question mark function. Zbl 1337.11007 Dushistova, Anna A.; Kan, Igor D.; Moshchevitin, Nikolay G. 16 2013 Methods for estimating continuants. Zbl 1273.11110 Kan, I. D. 6 2012 Quantitative generalizations of Niederreiter’s results on continued fractions. Zbl 1318.11099 Kan, I. D.; Krotkova, N. A. 1 2011 On Minkowski diagonal functions for two real numbers. Zbl 1296.11091 Kan, Igor D.; Moshchevitin, Nikolay G.; Chaika, Jonathan 1 2011 Approximations to two real numbers. Zbl 1249.11064 Kan, Igor D.; Moshchevitin, Nikolay G. 8 2010 A refinement of the rule of comparing continuants. Zbl 0987.11005 Kan, I. D. 7 2000 Frobenius problem for three arguments. Zbl 0919.11023 Kan, I. D.; Stechkin, B. S.; Sharkov, I. V. 4 1997 On a problem of Frobenius. Zbl 0941.11011 Kan, I. D. 3 1997 all cited Publications top 5 cited Publications all top 5 Cited by 48 Authors 17 Kan, Igor D. 6 Gayfulin, Dmitry R. 5 Moshchevitin, Nikolay G. 3 Kontorovich, Alex V. 3 Shkredov, Il’ya Dmitrievich 3 Shulga, Nikita Anatol’evich 2 Kwon, DoYong 2 Odnorob, V. A. 2 Shatskov, Denis O. 2 Tripathi, Amitabha 1 Aistleitner, Christoph 1 Batra, Sanjit Singh 1 Boca, Florin-Petre 1 Borda, Bence 1 Bourgain, Jean 1 Bugeaud, Yann 1 Corvaja, Pietro 1 DeMarco, Laura Grace 1 Diaz Carrillo, Manuel 1 Dubickas, Artūras 1 Dushistova, Anna A. 1 Fernández-Sánchez, Juan 1 Goldstein, Ilya 1 Habegger, Philipp 1 Hauke, Manuel 1 Kumar, Nikhil 1 Leont’ev, Vladimir Konstantinovich 1 Linden, Christopher 1 Magee, Michael 1 Manturov, Vassiliĭ Olegovich 1 McNamara, Peter J. 1 Miao, Junjie 1 Munday, Sara 1 Murphy, Brendan 1 Nauryzbaev, N. Zh. 1 Oh, Hee 1 Paradís, Jaume 1 Pollicott, Mark 1 Rudykh, Viktoria 1 Shomanova, A. A. 1 Solovyov, G. Kh. 1 Temirgaliev, Nurlan Temirgalievich 1 Ustinov, Alekseĭ Vladimirovich 1 Viader, Pelegrí 1 Vytnova, Polina 1 Williamson, Geordie 1 Winter, Dale 1 Zhabitskaya, Elena all top 5 Cited in 30 Serials 11 Mathematical Notes 3 Journal of Number Theory 3 Sbornik: Mathematics 3 Izvestiya: Mathematics 2 Functiones et Approximatio. Commentarii Mathematici 2 Monatshefte für Mathematik 2 Journal of Mathematical Sciences (New York) 2 St. Petersburg Mathematical Journal 2 Proceedings of the Steklov Institute of Mathematics 2 Moscow Journal of Combinatorics and Number Theory 1 Israel Journal of Mathematics 1 Russian Mathematical Surveys 1 Acta Arithmetica 1 Archiv der Mathematik 1 Functional Analysis and its Applications 1 Journal of the Korean Mathematical Society 1 Journal für die Reine und Angewandte Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Journal of the American Mathematical Society 1 Indagationes Mathematicae. New Series 1 Russian Mathematics 1 The Ramanujan Journal 1 Oberwolfach Reports 1 Uniform Distribution Theory 1 Discrete and Continuous Dynamical Systems. Series S 1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 1 Discrete Analysis 1 Transactions of the American Mathematical Society. Series B all top 5 Cited in 12 Fields 48 Number theory (11-XX) 14 Real functions (26-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 Computer science (68-XX) 3 Group theory and generalizations (20-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Numerical analysis (65-XX) Citations by Year