Edit Profile (opens in new tab) Glazunov, Mykola Mykhaĭlovych Co-Author Distance Author ID: glazunov.mykola-mykhailovych Published as: Glazunov, N. M.; Glazunov, Nikolaĭ Mikhaĭlovich; Glazunov, Nikolaj M.; Glazunov, Nikolaj; Glazunov, Nikolay M.; Glazunov, Nikolai more...less Further Spellings: Глазунов Николай Михайлович; Глазунов Микола Михайлович External Links: Google Scholar · Math-Net.Ru Documents Indexed: 62 Publications since 1973, including 1 Book and 16 Additional arXiv Preprints Reviewing Activity: 125 Reviews Co-Authors: 17 Co-Authors with 15 Joint Publications 346 Co-Co-Authors all top 5 Co-Authors 47 single-authored 4 Malyshev, Aleksandr Vasil’evich 2 Golovanov, A. S. 2 Kapitonova, Yu. V. 2 Kharchenko, V. P. 2 Sushchans’kyĭ, Vitaliĭ Ivanovych 1 Arkhipov, A. I. 1 Kaluzhnin, Lev Arkadevich 1 Kalyzhnin, L. A. 1 Khodzhiev, Sh. Kh. 1 Khyzhniak, À. V. 1 Kryvonos, Iu. G. 1 Postnikov, Alekseĭ Georgievich 1 Postnikova, L. P. 1 Shor, Naum Zuselevich 1 Skobelev, Vladimir G. 1 Skobelev, Volodymyr V. 1 Stogny, Anatoly A. all top 5 Serials 8 Cybernetics and Systems Analysis 6 Chebyshevskiĭ Sbornik 3 Kibernetika i Vychislitel’naya Tekhnika (Kiev) 2 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 2 Ukraïns’kyĭ Matematychnyĭ Zhurnal 2 Cybernetics 1 Ukrainian Mathematical Journal 1 Journal of Soviet Mathematics 1 Kibernetika 1 Programming and Computer Software 1 Numerical Algorithms 1 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A 1 Doklady Bolgarskoĭ Akademii Nauk 1 Voprosy Kibernetiki (Moskva) 1 Interval Computations 1 Trudy Instituta Prikladnoĭ Matematiki i Mekhaniki 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova all top 5 Fields 38 Number theory (11-XX) 19 Algebraic geometry (14-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Convex and discrete geometry (52-XX) 8 Computer science (68-XX) 7 Numerical analysis (65-XX) 3 Group theory and generalizations (20-XX) 2 Category theory; homological algebra (18-XX) 2 Topological groups, Lie groups (22-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 18 Publications have been cited 24 times in 16 Documents Cited by ▼ Year ▼ A proof of Minkowski’s conjecture on the critical determinant of the region \(| x| ^ p+| y| ^ p<1\). Zbl 0602.10021 Glazunov, N. M.; Golovanov, A. S.; Malyshev, A. V. 3 1986 Extremal forms and rigidity in arithmetic geometry and in dynamics. Zbl 1440.37011 Glazunov, N. M. 3 2015 On norm maps and “universal norms” of formal groups over integer rings of local fields. Zbl 1326.14110 Glazunov, Nikolaj M. 2 2014 Differential-algebraic equations and dynamic systems on manifolds. Zbl 1351.37219 Kryvonos, Iu. G.; Kharchenko, V. P.; Glazunov, N. M. 2 2016 A proof of Minkowski’s conjecture on the critical determinant of the region \(| x| ^ p+| y| ^ p<1\). Zbl 0663.10033 Glazunov, N. M.; Golovanov, A. S.; Malyshev, A. V. 1 1988 On moduli spaces, equidistribution, estimates, and rational points of algebraic curves. Zbl 0999.14022 Glazunov, N. M. 1 2001 Ergodic theory and arithmetical simulation of random processes. Zbl 1079.37005 Glazunov, N. M.; Postnikova, L. P.; Shor, N. Z. 1 2004 Über die ”Normenuntergruppen” eindimensionaler formaler Gruppen, die über dem Ring der ganzen Elemente eines lokalen Körpers erklärt sind. Zbl 0277.12013 Glazunov, N. M. 1 1973 Remarks on \(n\)-dimensional commutative formal groups over the ring of integers of a field of \(p\)-adic numbers. (Bemerkungen über \(n\)-dimensionale kommutative formale Gruppen über dem Ring der ganzen Zahlen des p-adischen Zahlkörpers.) Zbl 0278.14011 Glazunov, N. M. 1 1973 Methods for justifying arithmetic hypotheses and computer algebra. Zbl 1103.68988 Glazunov, N. M. 1 2006 Minkowski’s conjecture on the critical determinant. Zbl 0604.10015 Glazunov, N. M.; Malyshev, A. V. 1 1985 A proof of the Minkowski hypothesis concerning the critical determinant of the \(| x| ^ p+| y| ^ p<1\) region in the vicinity of \(p=2\). Zbl 0608.10031 Glazunov, N. M.; Malyshev, A. V. 1 1986 On existence of rational points on the curve \(y^2=f(x)\) over a simple finite field. Zbl 0723.14014 Glazunov, N. M.; Postnikov, A. G. 1 1988 Critical lattices, elliptic curves and their possible dynamics. Zbl 1142.52303 Glazunov, Nikolai 1 2005 Varieties over rings. Theory and applications. (Многообразия над кольцами. Теория и приложения.) Zbl 1349.14001 Skobelev, V. V.; Glazunov, N. M.; Skobelev, V. G. 1 2011 Quasi-local class fields of elliptic curves and formal groups. Zbl 1324.11067 Glazunov, N. M. 1 2012 Quadratic forms, algebraic groups and number theory. Zbl 1437.11054 Glazunov, N. M. 1 2015 Arithmetic modeling of random processes and \(r\)-algorithms. Zbl 1306.90149 Glazunov, N. M. 1 2012 Differential-algebraic equations and dynamic systems on manifolds. Zbl 1351.37219 Kryvonos, Iu. G.; Kharchenko, V. P.; Glazunov, N. M. 2 2016 Extremal forms and rigidity in arithmetic geometry and in dynamics. Zbl 1440.37011 Glazunov, N. M. 3 2015 Quadratic forms, algebraic groups and number theory. Zbl 1437.11054 Glazunov, N. M. 1 2015 On norm maps and “universal norms” of formal groups over integer rings of local fields. Zbl 1326.14110 Glazunov, Nikolaj M. 2 2014 Quasi-local class fields of elliptic curves and formal groups. Zbl 1324.11067 Glazunov, N. M. 1 2012 Arithmetic modeling of random processes and \(r\)-algorithms. Zbl 1306.90149 Glazunov, N. M. 1 2012 Varieties over rings. Theory and applications. (Многообразия над кольцами. Теория и приложения.) Zbl 1349.14001 Skobelev, V. V.; Glazunov, N. M.; Skobelev, V. G. 1 2011 Methods for justifying arithmetic hypotheses and computer algebra. Zbl 1103.68988 Glazunov, N. M. 1 2006 Critical lattices, elliptic curves and their possible dynamics. Zbl 1142.52303 Glazunov, Nikolai 1 2005 Ergodic theory and arithmetical simulation of random processes. Zbl 1079.37005 Glazunov, N. M.; Postnikova, L. P.; Shor, N. Z. 1 2004 On moduli spaces, equidistribution, estimates, and rational points of algebraic curves. Zbl 0999.14022 Glazunov, N. M. 1 2001 A proof of Minkowski’s conjecture on the critical determinant of the region \(| x| ^ p+| y| ^ p<1\). Zbl 0663.10033 Glazunov, N. M.; Golovanov, A. S.; Malyshev, A. V. 1 1988 On existence of rational points on the curve \(y^2=f(x)\) over a simple finite field. Zbl 0723.14014 Glazunov, N. M.; Postnikov, A. G. 1 1988 A proof of Minkowski’s conjecture on the critical determinant of the region \(| x| ^ p+| y| ^ p<1\). Zbl 0602.10021 Glazunov, N. M.; Golovanov, A. S.; Malyshev, A. V. 3 1986 A proof of the Minkowski hypothesis concerning the critical determinant of the \(| x| ^ p+| y| ^ p<1\) region in the vicinity of \(p=2\). Zbl 0608.10031 Glazunov, N. M.; Malyshev, A. V. 1 1986 Minkowski’s conjecture on the critical determinant. Zbl 0604.10015 Glazunov, N. M.; Malyshev, A. V. 1 1985 Über die ”Normenuntergruppen” eindimensionaler formaler Gruppen, die über dem Ring der ganzen Elemente eines lokalen Körpers erklärt sind. Zbl 0277.12013 Glazunov, N. M. 1 1973 Remarks on \(n\)-dimensional commutative formal groups over the ring of integers of a field of \(p\)-adic numbers. (Bemerkungen über \(n\)-dimensionale kommutative formale Gruppen über dem Ring der ganzen Zahlen des p-adischen Zahlkörpers.) Zbl 0278.14011 Glazunov, N. M. 1 1973 all cited Publications top 5 cited Publications all top 5 Cited by 22 Authors 9 Glazunov, Mykola Mykhaĭlovych 2 Kharchenko, V. P. 1 Andersen, Nickolas 1 Arkhipov, A. I. 1 Basalov, Yuriĭ Aleksandrovich 1 Chen, Boshan 1 Chen, Jiejie 1 Duke, William Drexel 1 Golovanov, A. S. 1 Kapitonova, Yu. V. 1 Khyzhniak, À. V. 1 Kleinbock, Dmitry Ya. 1 Kotova, Evgenya V. 1 Kryvonos, Iu. G. 1 Kudinov, Igor Vasil’evich 1 Kudinov, Vasiliĭ Aleksandrovich 1 Malyshev, Aleksandr Vasil’evich 1 Rao, Anurag 1 Sathiamurthy, Srinivasan 1 Skobelev, Volodymyr V. 1 Zeng, Zhigang 1 Zong, Chuanming all top 5 Cited in 8 Serials 6 Cybernetics and Systems Analysis 3 Chebyshevskiĭ Sbornik 1 Acta Arithmetica 1 Journal of Soviet Mathematics 1 Neural Networks 1 Expositiones Mathematicae 1 Indagationes Mathematicae. New Series 1 Russian Mathematics all top 5 Cited in 12 Fields 8 Number theory (11-XX) 4 Algebraic geometry (14-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Convex and discrete geometry (52-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year