Edit Profile (opens in new tab) Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich Co-Author Distance Author ID: dobrovolskii.n-m Published as: Dobrovol’skiĭ, N. M.; Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich; Dobrovol’skii, N. M.; Dobrovolskiĭ, Nikolaĭ Mikhaĭlovich; Dobrovol’skij, N. M.; Dobrovolskiĭ, N. M.; Dobrovol’skii, Nikolai M.; Dobrovol’skiĭ, N M.; Dobrovolskij, N. M. more...less Further Spellings: Добровольский Николай Михайлович External Links: Math-Net.Ru Documents Indexed: 123 Publications since 1984 Biographic References: 1 Publication Co-Authors: 201 Co-Authors with 119 Joint Publications 2,764 Co-Co-Authors all top 5 Co-Authors 4 single-authored 64 Dobrovol’skiĭ, Nikolai Nikolaevich 57 Rebrova, Irina Yur’evna 38 Chubarikov, Vladimir Nikolaevich 17 Dobrovol’skiĭ, Mikhail Nikolaevich 16 Chirskiĭ, Vladimir Grigor’evich 12 Balaba, Irina Nikolaevna 9 Deza, Elena Ivanovna 8 Dobrovol’skaya, Larisa Petrovna 8 Nesterenko, Yuriĭ Valentinovich 7 Ivanov, Aleksandr Olegovich 6 Bykovskiĭ, Viktor Alekseevich 6 Esayan, Al’bert Rubenovich 5 Demidov, Sergeĭ Sergeevich 5 Dobrynina, Irina Vasil’evna 5 Kanel’-Belov, Alekseĭ Yakovlevich 5 Pikhtilkova, Ol’ga Aleksandrovna 5 Rodionov, Aleksandr Valer’evich 5 Shafarevich, Andreĭ Igorevich 5 Sobolev, Dmitrii K. 5 Soboleva, Valentina N. 5 Van’kova, Valentina Sergeevna 4 Artamonov, Vyacheslav Aleksandrovich 4 Denisov, Igor’ Vasil’evich 4 Gashkov, Sergey B. 4 Kormacheva, Antonina Nikolaevna 4 Kozhukhov, Igor’ Borisovich 4 Mikhalëv, Aleksandr Vasil’evich 4 Roshchenya, Alla Lenstovna 3 Bernik, Vasiliĭ Ivanovich 3 Fomenko, Anatoliĭ Timofeevich 3 Ikonnikova, Tat’yana Konstantinovna 3 Korobov, Nikolaĭ Mikhaĭlovich 3 Kotova, Lidiya Vladimirovna 3 Kutepov, Sergeĭ Nikolaevich 3 Kuzovleva, Ol’ga Vladimirovna 3 Laurinčikas, Antanas 3 Maliĭ, Dmitriĭ Vladimirovich 3 Minaev, Igor’ Vasil’evich 3 Mineev, Mikhail Petrovich 3 Nizhnikov, Aleksandr Ivanovich 3 Pachev, Urusbi Mukhamedovich 3 Sergeev, Aleksandr Nikolaevich 3 Smirnova, Elena Nikolaevna 3 Ustyan, Ashot Enofovich 3 Zhmulëva, Alevtina Vasil’evna 2 Arkhipov, Gennadiĭ Ivanovich 2 Baoulina, Ioulia N. 2 Beresnevich, Victor V. 2 Breki, Aleksandr Dzhalyul’evich 2 Budarina, Natalia Viktorovna 2 Bukhshtaber, Viktor Matveevich 2 Chukanov, Aleksandr Nikolaevich 2 Dorokhin, Yuriĭ Sergeevich 2 Galochkin, A. I. 2 Gvozdev, Aleksandr Evgen’evich 2 Kalinin, Anton Alekseevich 2 Klement’ev, Denis Sergeevich 2 Krupitsin, Evgeniĭ Stanislavovich 2 Latyshev, Viktor Nikolaevich 2 Manokhin, Evgeniĭ Viktorovich 2 Matveeva, Elizaveta Aleksandrovna 2 Medvedev, Pavel Nikolaevich 2 Podolyan, Alëna Sergeevna 2 Podsypanin, Fëdor Vladimirovich 2 Semënov, Alekseĭ L’vovich 2 Vasil’ev, Denis Vladimirovich 2 Yushina, E. I. 2 Zaĭtsev, Mikhail Vladimirovich 1 Abdulgalimov, Gramudin Latifovich 1 Ageev, Evgeniĭ Viktorovich 1 Andreev, K. K. 1 Andreeva, O. V. 1 Arsen’eva, Ol’ga Evgen’evna 1 Artamonova, N. V. 1 Arzhantseva, Goulnara N. 1 Aslanov, Ramiz Mutallim ogly 1 Atabekyan, Varuzhan S. 1 Avdeev, Fëdor Stepanovich 1 Averina, Tat’yana Nikolaevna 1 Banaru, Mikhail Borisovich 1 Bazhanova, Ekaterina Nikolaevna 1 Bezverkhniĭ, N. V. 1 Bezverkhniĭ, Vladimir Nikolaevich 1 Bobylev, Yuriĭ Vladimirovich 1 Bocharova, O. E. 1 Bolsinov, Alexey V. 1 Boshchenko, A. P. 1 Bukhstaber, V. M. 1 Burlakov, Mikhail P. 1 Changa, Maris Evgen’evich 1 Chinenova, Vera Nikolaevna 1 Chubarov, Igor A. 1 Chulkin, Sergeĭ Georgievich 1 Deryabina, G. S. 1 Drobyshev, Yuriĭ Aleksandrovich 1 Ermolov, A. V. 1 Fot, Andreĭ Petrovich 1 Gaĭshun, Ivan Vasil’evich 1 Golubeva, E. I. 1 Gorchinskiĭ, Sergeĭ Olegovich ...and 106 more Co-Authors all top 5 Serials 107 Chebyshevskiĭ Sbornik 5 Mathematical Notes 2 Russian Mathematical Surveys 2 Doklady Mathematics 1 European Journal of Combinatorics 1 Buletinul Academiei de Științe a Republicii Moldova. Matematica 1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika all top 5 Fields 59 Number theory (11-XX) 50 History and biography (01-XX) 18 Numerical analysis (65-XX) 9 Approximations and expansions (41-XX) 3 Group theory and generalizations (20-XX) 3 Computer science (68-XX) 2 Combinatorics (05-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 44 Publications have been cited 153 times in 48 Documents Cited by ▼ Year ▼ On hyperbolic zeta function of lattices. Zbl 1323.11066 Dobrovolskaya, L. P.; Dobrovolsky, M. N.; Dobrovol’skii, N. M.; Dobrovolsky, N. N. 14 2014 Number of lattice points in the hyperbolic cross. Zbl 0931.11038 Dobrovol’skij, N. M.; Roshchenya, A. L. 9 1998 On hyperbolic Hurwitz zeta function. Zbl 1435.11116 Dobrovolskiĭ, N. M.; Dobrovolskiĭ, N. N.; Soboleva, V. N.; Sobolev, D. K.; Dobrovol’skaya, L. P.; Bocharova, O. E. 9 2016 On the error of approximate integration over modified grids. Zbl 1274.65072 Dobrovol’skaya, L. P.; Dobrovol’skiĭ, N. M.; Simonov, A. S. 7 2008 On a matrix form of a theorem of Galois on purely periodic continued fractions. Zbl 1306.11008 Dobrovol’skiĭ, N. M.; Dobrovol’skiĭ, N. N.; Yushina, E. I. 7 2012 Hyperbolic zeta-functions of nets and lattices and calculation of optimal coefficients. Zbl 1282.11116 Dobrovol’skaya, L. P.; Dobrovol’skiĭ, M. N.; Dobrovol’skiĭ, N. M.; Dobrovol’skiĭ, N. N. 7 2012 Number-theoretic method in approximate analysis. Zbl 1434.11136 Demidov, S. S.; Morozova, E. A.; Chubarikov, V. N.; Rebrova, I. Yu.; Balaba, I. N.; Dobrovol’skiĭ, N. N.; Dobrovol’skiĭ, N. M.; Dobrovol’skaya, L. P.; Rodionov, A. V.; Pikhtil’kova, O. A. 7 2017 On the product of generalized parallelepiped grids of integral lattices. Zbl 1116.11049 Dobrovol’skiĭ, M. N.; Dobrovol’skiĭ, N. M.; Kiseleva, O. V. 6 2002 On matrix decomposition of one reduced cubic irrational. Zbl 1429.11128 Dobrovol’skiĭ, N. M.; Sobolev, D. K.; Soboleva, V. N. 6 2013 About the modern problems of the theory of hyperbolic zeta-functions of lattices. Zbl 1439.11233 Dobrovol’skiĭ, N. M. 5 2015 Dirichlet series algebra of a monoid of natural numbers. Zbl 1441.11231 Dobrovol’skiĭ, Nikolaĭ Nikolaevich; Dobrovol’skiĭ, Mikhaĭl Nikolaevich; Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich; Balaba, Irina Nikolaevna; Rebrova, Irina Yur’evna 5 2019 Generalized Pisot numbers and matrix decomposition. Zbl 1371.11120 Dobrovol’skii, Nikolai M.; Dobrovolsky, Nikolai N.; Balaba, Irina N.; Rebrova, Irina Yu.; Sobolev, Dmitrii K.; Soboleva, Valentina N. 4 2016 Means over orbits of multidimensional lattices. Zbl 0857.11036 Dobrovol’skij, N. M. 4 1995 Optimal coefficients for combined lattices. Zbl 1110.41013 Dobrovol’skiĭ, N. M.; Korobov, N. M. 4 2001 An effective proof of a theorem of Roth on quadratic dispersion. Zbl 0554.10030 Dobrovol’skiĭ, N. M. 4 1984 About minimal polynomial residual fractions for algebraic irrationalities. Zbl 1437.11099 Dobrovol’skiĭ, N. M.; Dobrovol’skiĭ, N. N. 4 2015 On the number of prime elements in certain monoids of natural numbers. Zbl 1439.11203 Dobrovolskiĭ, Nikolaĭ Nikolaevich; Kalinina, Alina Olegonva; Dobrovolskiĭ, Mikhaĭl Nikolaevich; Dobrovolskiĭ, Nikolaĭ Mikhaĭlovich 4 2018 Computation of the optimal coefficients. Zbl 0729.65009 Bocharova, L. P.; Van’kova, V. S.; Dobrovol’skij, N. M. 3 1991 On Lagrange algorithm for reduced algebraic irrationalities. Zbl 1354.11050 Dobrovol’skii, N. M.; Balaba, I. N.; Rebrova, I. Yu.; Dobrovol’skii, N. N. 3 2016 An error estimate for quadrature formulas with optimal parallelepiped grids. Zbl 1116.11094 Dobrovol’skiĭ, N. M.; Korobov, N. M. 3 2002 Classification purely real algebraic irrationalities. Zbl 1434.11138 Dobrovol’skiĭ, N. M.; Dobrovol’skiĭ, N. N.; Sobolev, D. K.; Soboleva, V. N. 3 2017 Multidimensional number-theoretic Fourier interpolation. Zbl 1145.42001 Dobrovol’skiĭ, N. M.; Esayan, A. R.; Andreeva, O. V.; Zaĭtseva, N. V. 3 2004 On estimates for the hyperbolic zeta function of lattices. Zbl 1147.11051 Gorkusha, O. A.; Dobrovol’skiĭ, N. M. 3 2005 Continuity of the hyperbolic zeta function of lattices. Zbl 0924.11075 Dobrovolskij, N. M.; Roshchenya, A. L.; Rebrova, I. Yu. 2 1998 On regular \(p\)-adic nets. Zbl 0837.11041 Dobrovol’skij, N. M.; Van’kova, V. S. 2 1993 Hyperbolic zeta function of lattice over quadratic field. Zbl 1437.11133 Dobrovol’skiĭ, N. M.; Dobrovol’skiĭ, N. N.; Soboleva, V. N.; Sobolev, D. K.; Yushina, E. I. 2 2015 A conjecture on “obstruction series” for the zeta-functions of monoids with an exponential sequence of primes. Zbl 1439.11202 Dobrovolskiĭ, Nikolaĭ Nikolaevich; Dobrovolskiĭ, Mikhail Nikolaevich; Dobrovolskiĭ, Nikolaĭ Mikhaĭlovich; Balaba, Irina Nikolaevna; Rebrova, Irina Yur’evna 2 2018 On the monoid of quadratic residues. Zbl 1439.11253 Dobrovolskiĭ, Nikolaĭ Nikolaevich; Kalinina, Alina Olegovna; Dobrovolskiĭ, Mikhaĭl Nikolaevich; Dobrovolskiĭ, Nikolaĭ Mikhaĭlovich 2 2018 On two-dimensional Voronin lattices. Zbl 1145.11051 Vronskaya, G. T.; Dobrovol’skiĭ, N. M. 2 2004 Monoids of natural numbers in the numerical-theoretical method in the approximate analysis. Zbl 07211543 Dobrovol’skiĭ, Nikolaĭ Nikolaevich; Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich; Rebrova, Irina Yur’evna; Rodionov, Aleksandr Valer’evich 2 2019 In memory of Alekseĭ Nikolaevich Parshin. Zbl 1518.01026 Gorchinskiĭ, S. O.; Dobrovol’skiĭ, N. M.; Zheglov, A. B.; Osipov, D. V. 2 2022 Some questions of number-theoretical method in approximation analysis. Zbl 1312.11064 Dobrovolskaya, L. P.; Dobrovolsky, M. N.; Dobrovol’skii, N. M.; Dobrovol’skii, N. N.; Rebrova, I. Y. 1 2013 Multidimensional number-theoretic grids and lattices and their applications to approximate analysis. Zbl 1208.11092 Dobrovol’skiĭ, N. M. 1 2002 Al’bert Rubenovich Esayan (to the seventy-fifth anniversary ofn his birth). Zbl 1274.01078 Dobrovol’skii, N. M.; Lapitskaya, L. P.; Martynyuk, Yu. M.; Rebrova, I. Yu.; Torina, E. G.; Chubarikov, V. N. 1 2012 Fifty years of the number-theoretic method in approximate analysis: problems and achievements. (Пятьдесят лет теоретико-числовому методу в приближенном анализе: проблемы и достижения.) Zbl 1425.65002 Bocharova, L. P.; Dobrovol’skiĭ, N. M.; Rebrova, I. Yu. 1 2007 Optimality criteria and algorithms for finding optimal coefficients. (Критерии оптимальности и алгоритмы поиска оптимальных коэффициентов.) Zbl 1425.65022 Korobov, N. M.; Dobrovol’skiĭ, N. M. 1 2007 Nested arrays and recursion. Zbl 1441.68022 Esayan, A. R.; Dobrovolskiĭ, N. M. 1 2015 On the hyperbolic parameter of a two-dimensional lattice of comparisons. Zbl 07642938 Kormacheva, Antonina Nikolaevna; Dobrovol’skiĭ, Nikolaĭ Nikolaevich; Rebrova, Irina Yur’evna; Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 1 2021 Boris Maksimovich Bredikhin and his scientific and pedagogical activity. Zbl 1471.01047 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich; Pachev, Urusbi Mukhamedovich; Chubarikov, Vladimir NIkolaevich 1 2020 Algebraic lattice in a metric space lattices. Zbl 1434.11090 Smirnova, E. N.; Pikhtilkova, O. A.; Dobrovol’skii, N. N.; Dobrovol’skii, N. M. 1 2017 Inverse problem for a monoid with an exponential sequence of primes. Zbl 1522.11090 Dobrovol’skiĭ, Nikolaĭ Nikolaevich; Rebrova, Irina Yur’evna; Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 1 2020 The final deviation and the main quality measure for Korobov grids. Zbl 1521.49017 Dobrovol’skiĭ, Nikolaĭ Nikolaevich; Dobrovol’skiĭ, Mikhail Nikolaevich; Rebrova, Irina Yur’evna; Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 1 2022 Monoid of products of zeta functions of monoids of natural numbers. Zbl 1523.11159 Dobrovol’skiĭ, Nikolaĭ Nikolaevich; Dobrovol’skiĭ, Mikhail Nikolaevich; Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich; Kozhukhov, Igor’ Borisovich; Rebrova, Irina Yur’evna 1 2022 Entropy for some monoids of natural numbers. Zbl 1523.11175 Dobrovol’skiĭ, Nikolaĭ Nikolaevich; Rebrova, Irina Yur’evna; Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 1 2022 In memory of Alekseĭ Nikolaevich Parshin. Zbl 1518.01026 Gorchinskiĭ, S. O.; Dobrovol’skiĭ, N. M.; Zheglov, A. B.; Osipov, D. V. 2 2022 The final deviation and the main quality measure for Korobov grids. Zbl 1521.49017 Dobrovol’skiĭ, Nikolaĭ Nikolaevich; Dobrovol’skiĭ, Mikhail Nikolaevich; Rebrova, Irina Yur’evna; Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 1 2022 Monoid of products of zeta functions of monoids of natural numbers. Zbl 1523.11159 Dobrovol’skiĭ, Nikolaĭ Nikolaevich; Dobrovol’skiĭ, Mikhail Nikolaevich; Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich; Kozhukhov, Igor’ Borisovich; Rebrova, Irina Yur’evna 1 2022 Entropy for some monoids of natural numbers. Zbl 1523.11175 Dobrovol’skiĭ, Nikolaĭ Nikolaevich; Rebrova, Irina Yur’evna; Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 1 2022 On the hyperbolic parameter of a two-dimensional lattice of comparisons. Zbl 07642938 Kormacheva, Antonina Nikolaevna; Dobrovol’skiĭ, Nikolaĭ Nikolaevich; Rebrova, Irina Yur’evna; Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 1 2021 Boris Maksimovich Bredikhin and his scientific and pedagogical activity. Zbl 1471.01047 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich; Pachev, Urusbi Mukhamedovich; Chubarikov, Vladimir NIkolaevich 1 2020 Inverse problem for a monoid with an exponential sequence of primes. Zbl 1522.11090 Dobrovol’skiĭ, Nikolaĭ Nikolaevich; Rebrova, Irina Yur’evna; Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 1 2020 Dirichlet series algebra of a monoid of natural numbers. Zbl 1441.11231 Dobrovol’skiĭ, Nikolaĭ Nikolaevich; Dobrovol’skiĭ, Mikhaĭl Nikolaevich; Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich; Balaba, Irina Nikolaevna; Rebrova, Irina Yur’evna 5 2019 Monoids of natural numbers in the numerical-theoretical method in the approximate analysis. Zbl 07211543 Dobrovol’skiĭ, Nikolaĭ Nikolaevich; Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich; Rebrova, Irina Yur’evna; Rodionov, Aleksandr Valer’evich 2 2019 On the number of prime elements in certain monoids of natural numbers. Zbl 1439.11203 Dobrovolskiĭ, Nikolaĭ Nikolaevich; Kalinina, Alina Olegonva; Dobrovolskiĭ, Mikhaĭl Nikolaevich; Dobrovolskiĭ, Nikolaĭ Mikhaĭlovich 4 2018 A conjecture on “obstruction series” for the zeta-functions of monoids with an exponential sequence of primes. Zbl 1439.11202 Dobrovolskiĭ, Nikolaĭ Nikolaevich; Dobrovolskiĭ, Mikhail Nikolaevich; Dobrovolskiĭ, Nikolaĭ Mikhaĭlovich; Balaba, Irina Nikolaevna; Rebrova, Irina Yur’evna 2 2018 On the monoid of quadratic residues. Zbl 1439.11253 Dobrovolskiĭ, Nikolaĭ Nikolaevich; Kalinina, Alina Olegovna; Dobrovolskiĭ, Mikhaĭl Nikolaevich; Dobrovolskiĭ, Nikolaĭ Mikhaĭlovich 2 2018 Number-theoretic method in approximate analysis. Zbl 1434.11136 Demidov, S. S.; Morozova, E. A.; Chubarikov, V. N.; Rebrova, I. Yu.; Balaba, I. N.; Dobrovol’skiĭ, N. N.; Dobrovol’skiĭ, N. M.; Dobrovol’skaya, L. P.; Rodionov, A. V.; Pikhtil’kova, O. A. 7 2017 Classification purely real algebraic irrationalities. Zbl 1434.11138 Dobrovol’skiĭ, N. M.; Dobrovol’skiĭ, N. N.; Sobolev, D. K.; Soboleva, V. N. 3 2017 Algebraic lattice in a metric space lattices. Zbl 1434.11090 Smirnova, E. N.; Pikhtilkova, O. A.; Dobrovol’skii, N. N.; Dobrovol’skii, N. M. 1 2017 On hyperbolic Hurwitz zeta function. Zbl 1435.11116 Dobrovolskiĭ, N. M.; Dobrovolskiĭ, N. N.; Soboleva, V. N.; Sobolev, D. K.; Dobrovol’skaya, L. P.; Bocharova, O. E. 9 2016 Generalized Pisot numbers and matrix decomposition. Zbl 1371.11120 Dobrovol’skii, Nikolai M.; Dobrovolsky, Nikolai N.; Balaba, Irina N.; Rebrova, Irina Yu.; Sobolev, Dmitrii K.; Soboleva, Valentina N. 4 2016 On Lagrange algorithm for reduced algebraic irrationalities. Zbl 1354.11050 Dobrovol’skii, N. M.; Balaba, I. N.; Rebrova, I. Yu.; Dobrovol’skii, N. N. 3 2016 About the modern problems of the theory of hyperbolic zeta-functions of lattices. Zbl 1439.11233 Dobrovol’skiĭ, N. M. 5 2015 About minimal polynomial residual fractions for algebraic irrationalities. Zbl 1437.11099 Dobrovol’skiĭ, N. M.; Dobrovol’skiĭ, N. N. 4 2015 Hyperbolic zeta function of lattice over quadratic field. Zbl 1437.11133 Dobrovol’skiĭ, N. M.; Dobrovol’skiĭ, N. N.; Soboleva, V. N.; Sobolev, D. K.; Yushina, E. I. 2 2015 Nested arrays and recursion. Zbl 1441.68022 Esayan, A. R.; Dobrovolskiĭ, N. M. 1 2015 On hyperbolic zeta function of lattices. Zbl 1323.11066 Dobrovolskaya, L. P.; Dobrovolsky, M. N.; Dobrovol’skii, N. M.; Dobrovolsky, N. N. 14 2014 On matrix decomposition of one reduced cubic irrational. Zbl 1429.11128 Dobrovol’skiĭ, N. M.; Sobolev, D. K.; Soboleva, V. N. 6 2013 Some questions of number-theoretical method in approximation analysis. Zbl 1312.11064 Dobrovolskaya, L. P.; Dobrovolsky, M. N.; Dobrovol’skii, N. M.; Dobrovol’skii, N. N.; Rebrova, I. Y. 1 2013 On a matrix form of a theorem of Galois on purely periodic continued fractions. Zbl 1306.11008 Dobrovol’skiĭ, N. M.; Dobrovol’skiĭ, N. N.; Yushina, E. I. 7 2012 Hyperbolic zeta-functions of nets and lattices and calculation of optimal coefficients. Zbl 1282.11116 Dobrovol’skaya, L. P.; Dobrovol’skiĭ, M. N.; Dobrovol’skiĭ, N. M.; Dobrovol’skiĭ, N. N. 7 2012 Al’bert Rubenovich Esayan (to the seventy-fifth anniversary ofn his birth). Zbl 1274.01078 Dobrovol’skii, N. M.; Lapitskaya, L. P.; Martynyuk, Yu. M.; Rebrova, I. Yu.; Torina, E. G.; Chubarikov, V. N. 1 2012 On the error of approximate integration over modified grids. Zbl 1274.65072 Dobrovol’skaya, L. P.; Dobrovol’skiĭ, N. M.; Simonov, A. S. 7 2008 Fifty years of the number-theoretic method in approximate analysis: problems and achievements. (Пятьдесят лет теоретико-числовому методу в приближенном анализе: проблемы и достижения.) Zbl 1425.65002 Bocharova, L. P.; Dobrovol’skiĭ, N. M.; Rebrova, I. Yu. 1 2007 Optimality criteria and algorithms for finding optimal coefficients. (Критерии оптимальности и алгоритмы поиска оптимальных коэффициентов.) Zbl 1425.65022 Korobov, N. M.; Dobrovol’skiĭ, N. M. 1 2007 On estimates for the hyperbolic zeta function of lattices. Zbl 1147.11051 Gorkusha, O. A.; Dobrovol’skiĭ, N. M. 3 2005 Multidimensional number-theoretic Fourier interpolation. Zbl 1145.42001 Dobrovol’skiĭ, N. M.; Esayan, A. R.; Andreeva, O. V.; Zaĭtseva, N. V. 3 2004 On two-dimensional Voronin lattices. Zbl 1145.11051 Vronskaya, G. T.; Dobrovol’skiĭ, N. M. 2 2004 On the product of generalized parallelepiped grids of integral lattices. Zbl 1116.11049 Dobrovol’skiĭ, M. N.; Dobrovol’skiĭ, N. M.; Kiseleva, O. V. 6 2002 An error estimate for quadrature formulas with optimal parallelepiped grids. Zbl 1116.11094 Dobrovol’skiĭ, N. M.; Korobov, N. M. 3 2002 Multidimensional number-theoretic grids and lattices and their applications to approximate analysis. Zbl 1208.11092 Dobrovol’skiĭ, N. M. 1 2002 Optimal coefficients for combined lattices. Zbl 1110.41013 Dobrovol’skiĭ, N. M.; Korobov, N. M. 4 2001 Number of lattice points in the hyperbolic cross. Zbl 0931.11038 Dobrovol’skij, N. M.; Roshchenya, A. L. 9 1998 Continuity of the hyperbolic zeta function of lattices. Zbl 0924.11075 Dobrovolskij, N. M.; Roshchenya, A. L.; Rebrova, I. Yu. 2 1998 Means over orbits of multidimensional lattices. Zbl 0857.11036 Dobrovol’skij, N. M. 4 1995 On regular \(p\)-adic nets. Zbl 0837.11041 Dobrovol’skij, N. M.; Van’kova, V. S. 2 1993 Computation of the optimal coefficients. Zbl 0729.65009 Bocharova, L. P.; Van’kova, V. S.; Dobrovol’skij, N. M. 3 1991 An effective proof of a theorem of Roth on quadratic dispersion. Zbl 0554.10030 Dobrovol’skiĭ, N. M. 4 1984 all cited Publications top 5 cited Publications all top 5 Cited by 49 Authors 25 Dobrovol’skiĭ, Nikolai Nikolaevich 23 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 11 Rebrova, Irina Yur’evna 7 Dobrovol’skiĭ, Mikhail Nikolaevich 4 Balaba, Irina Nikolaevna 4 Dobrovol’skaya, Larisa Petrovna 4 Sobolev, Dmitrii K. 4 Soboleva, Valentina N. 3 Rodionov, Aleksandr Valer’evich 2 Basalov, Yuriĭ Aleksandrovich 2 Chubarikov, Vladimir Nikolaevich 2 Demidov, Sergeĭ Sergeevich 2 Illarionov, Andrei A. 2 Pikhtilkova, Ol’ga Aleksandrovna 1 Adcock, Ben 1 Avdeeva, M. O. 1 Bocharova, O. E. 1 Bykovskiĭ, Viktor Alekseevich 1 Chen, William Wai Lim 1 Chernov, Alexey 1 Chukanov, Aleksandr Nikolaevich 1 Denisov, Igor’ Vasil’evich 1 Dinh Dũng 1 Dubickas, Artūras 1 Esayan, Al’bert Rubenovich 1 Fëdorov, Gleb Vladimirovich 1 Griebel, Michael 1 Grigor’ev, S. G. 1 Hamaekers, Jan 1 Kalinina, Alina Olegonva 1 Kalinina, Alina Olegovna 1 Kirilina, Anasta 1 Kiseleva, O. V. 1 Kormacheva, Antonina Nikolaevna 1 Kritzinger, Ralph 1 Maksimenko, Natal’ya Viktorovna 1 Matveeva, Anna Vladimirovna 1 Matveeva, Elizaveta Aleksandrovna 1 Morozova, Elena Aleksandrovna 1 Pillichshammer, Friedrich 1 Rarova, Elena Mikhaĭlovna 1 Roshchenya, Alla Lenstovna 1 Sergeev, Aleksandr Nikolaevich 1 Simon, Noah Robin 1 Skriganov, Maxim M. 1 Smirnova, Elena Nikolaevna 1 Tsoĭ, Evgeniĭ Vladimirovich 1 Yushina, E. I. 1 Zhang, Tianyu all top 5 Cited in 10 Serials 32 Chebyshevskiĭ Sbornik 3 Mathematical Notes 3 Doklady Mathematics 1 Archiv der Mathematik 1 Numerische Mathematik 1 Quaestiones Mathematicae 1 Journal of Complexity 1 St. Petersburg Mathematical Journal 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Electronic Journal of Statistics all top 5 Cited in 12 Fields 36 Number theory (11-XX) 9 Numerical analysis (65-XX) 4 Approximations and expansions (41-XX) 3 History and biography (01-XX) 2 Partial differential equations (35-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year