RUS  ENG
Full version
PEOPLE

Dobrovol'skii Nikolai Mikhailovich

Publications in Math-Net.Ru

  1. On a case of joint Dirichlet approximations

    Chebyshevskii Sb., 26:4 (2025),  446–452
  2. Hyperbolic zeta function of diagonal unimodular lattices

    Chebyshevskii Sb., 26:1 (2025),  157–163
  3. Smooth variety of lattices

    Chebyshevskii Sb., 26:1 (2025),  99–115
  4. Algebraic grids and their application to the numerical solution of linear integral equations — II

    Chebyshevskii Sb., 26:1 (2025),  35–46
  5. On the number of points of an incomplete lattice in rectangular regions

    Chebyshevskii Sb., 25:4 (2024),  138–146
  6. Error of approximate integration and interpolation on classes of functions defined by monoids of natural numbers

    Chebyshevskii Sb., 25:4 (2024),  74–105
  7. Multidimensional Fourier interpolation and complexity of the fast Fourier transform

    Chebyshevskii Sb., 25:4 (2024),  42–52
  8. Vladimir Grigorievich Chirskii (on the 75-th anniversary of his birth)

    Chebyshevskii Sb., 25:3 (2024),  5–10
  9. Dirichlet series of the second kind for irreducible lattices repeated by multiplication

    Chebyshevskii Sb., 25:2 (2024),  260–268
  10. Continuity of Dirichlet series of $s$-dimensional lattices

    Chebyshevskii Sb., 25:2 (2024),  251–259
  11. Hyperbolic zeta function of two-dimensional diagonal unimodular lattices

    Chebyshevskii Sb., 24:5 (2023),  217–221
  12. On the estimation of the error of quadrature formulas with optimal parallelepipedal grids II

    Chebyshevskii Sb., 24:4 (2023),  345–353
  13. On the accuracy of quadrature formulas with optimal parallelepipedal grids

    Chebyshevskii Sb., 24:4 (2023),  335–340
  14. On the number of lattice points of linear comparison solutions in rectangular areas

    Chebyshevskii Sb., 24:4 (2023),  311–324
  15. Smooth variety of lattices

    Chebyshevskii Sb., 24:4 (2023),  299–310
  16. Universality and antiuniversality theorems for zeta functions of monoids of natural numbers

    Chebyshevskii Sb., 24:4 (2023),  104–136
  17. Interpolation for a system of concentric grids

    Chebyshevskii Sb., 24:3 (2023),  95–121
  18. On Bykovsky estimates for deviations of generalized parallelepipedal grids

    Chebyshevskii Sb., 24:2 (2023),  214–227
  19. Convergence domains of the zeta function of some monoids of natural numbers

    Chebyshevskii Sb., 24:2 (2023),  154–164
  20. On the number of lattice points of linear comparison solutions in rectangular areas

    Chebyshevskii Sb., 23:5 (2022),  130–144
  21. Entropy for some monoids of natural numbers

    Chebyshevskii Sb., 23:5 (2022),  57–71
  22. On Bykovsky estimates for a measure of the quality of optimal coefficients

    Chebyshevskii Sb., 23:4 (2022),  178–187
  23. Deviation estimates for rational grids approximating algebraic

    Chebyshevskii Sb., 23:4 (2022),  170–177
  24. Algebraic grids and their application to the numerical solution of linear integral equations

    Chebyshevskii Sb., 23:4 (2022),  162–169
  25. Systems of joint Thue polynomials for quadratic irrationalities

    Chebyshevskii Sb., 23:4 (2022),  77–91
  26. The inverse problem for a basic monoid of type $q$

    Chebyshevskii Sb., 23:4 (2022),  64–76
  27. Monoid of products of zeta functions of monoids of natural numbers

    Chebyshevskii Sb., 23:3 (2022),  102–117
  28. The final deviation and the main quality measure for Korobov grids

    Chebyshevskii Sb., 23:2 (2022),  56–73
  29. Generalized Dirichlet problem for a two-dimensional lattice of Dirichlet approximations

    Chebyshevskii Sb., 23:1 (2022),  83–105
  30. On generalized non-uniform Korobov grids

    Chebyshevskii Sb., 22:5 (2021),  365–373
  31. About one functional equation

    Chebyshevskii Sb., 22:5 (2021),  359–364
  32. Pseudorandom search algorithms in problems of optimal choice of parameters of complex econometric models

    Chebyshevskii Sb., 22:5 (2021),  25–43
  33. On the hyperbolic parameter of a two-dimensional lattice of comparisons

    Chebyshevskii Sb., 22:4 (2021),  168–182
  34. Smooth manifold of one-dimensional lattices and shifted lattices

    Chebyshevskii Sb., 22:3 (2021),  196–231
  35. Trigonometric sums of grids of algebraic lattices with infinitely differentiable weights

    Chebyshevskii Sb., 22:3 (2021),  166–178
  36. On a linear Diophantine equation and its applications

    Chebyshevskii Sb., 22:2 (2021),  288–303
  37. Mathematical regularities of the sliding friction process of a porous material based on iron impregnated with lubricating oil with dispersed particles of fluorinated graphene

    Chebyshevskii Sb., 22:1 (2021),  378–389
  38. Smooth manifold of one-dimensional lattices

    Chebyshevskii Sb., 21:3 (2020),  165–185
  39. Inverse problem for a monoid with an exponential sequence of primes

    Chebyshevskii Sb., 21:1 (2020),  165–185
  40. History of laser development and features of its application

    Chebyshevskii Sb., 20:4 (2019),  423–438
  41. Materials and technologies for production products by additive manufacturing

    Chebyshevskii Sb., 20:3 (2019),  453–477
  42. On a generalized Eulerian product defining a meromorphic function on the whole complex plane

    Chebyshevskii Sb., 20:2 (2019),  156–168
  43. Dirichlet series algebra of a monoid of natural numbers

    Chebyshevskii Sb., 20:1 (2019),  180–196
  44. Monoids of natural numbers in the numerical-theoretical method in the approximate analysis

    Chebyshevskii Sb., 20:1 (2019),  164–179
  45. On classical number-theoretic nets

    Chebyshevskii Sb., 19:4 (2018),  118–176
  46. On the monoid of quadratic residues

    Chebyshevskii Sb., 19:3 (2018),  95–108
  47. User recursive functions in Maxima

    Chebyshevskii Sb., 19:2 (2018),  432–446
  48. On the number of prime elements in certain monoids of natural numbers

    Chebyshevskii Sb., 19:2 (2018),  123–141
  49. Hypothesis about "barier series" for the zeta-functions of monoids with the exponential sequence of primes

    Chebyshevskii Sb., 19:1 (2018),  106–123
  50. Algebraic lattice in a metric space lattices

    Chebyshevskii Sb., 18:4 (2017),  326–338
  51. Number-theoretic method in approximate analysis

    Chebyshevskii Sb., 18:4 (2017),  6–85
  52. Classification purely real algebraic irrationalities

    Chebyshevskii Sb., 18:2 (2017),  98–128
  53. On fractional linear transformations of forms A. Thue–M. N. Dobrovolsky–V. D. Podsypanina

    Chebyshevskii Sb., 18:2 (2017),  54–97
  54. On Lagrange algorithm for reduced algebraic irrationalities

    Bul. Acad. Ştiinţe Repub. Mold. Mat., 2016, no. 2,  27–39
  55. On hyperbolic Hurwitz zeta function

    Chebyshevskii Sb., 17:3 (2016),  72–105
  56. Hyperbolic zeta function of lattice over quadratic field

    Chebyshevskii Sb., 16:4 (2015),  100–149
  57. Nested arrays and recursion

    Chebyshevskii Sb., 16:3 (2015),  479–495
  58. About minimal polynomial residual fractions for algebraic irrationalities

    Chebyshevskii Sb., 16:3 (2015),  147–182
  59. About the modern problems of the theory of hyperbolic zeta-functions of lattices

    Chebyshevskii Sb., 16:1 (2015),  176–190
  60. On some Diophantine equation with variables from lacunar sequence

    Chebyshevskii Sb., 15:4 (2014),  124–138
  61. Diagram output and xy package

    Chebyshevskii Sb., 14:4 (2013),  101–118
  62. On matrix decomposition of one reduced cubic irrational

    Chebyshevskii Sb., 14:1 (2013),  34–55
  63. Some questions of number-theoretical method in approximation analysis

    Izv. Saratov Univ. Math. Mech. Inform., 13:4(2) (2013),  47–52
  64. Гиперболические дзета-функции сеток и решеток и вычисление оптимальных коэффициентов

    Chebyshevskii Sb., 13:4 (2012),  4–107
  65. О матричной форме теоремы Галуа о чисто периодических цепных дробях

    Chebyshevskii Sb., 13:3 (2012),  47–52
  66. Numerical modeling of heterotransition

    Chebyshevskii Sb., 11:2 (2010),  47–56
  67. On the error of approximate integration over modified grids

    Chebyshevskii Sb., 9:1 (2008),  185–223
  68. Критерии оптимальности и алгоритмы поиска оптимальных коэффициентов

    Chebyshevskii Sb., 8:4 (2007),  105–128
  69. Пятьдесят лет теоретико-числовому методу в приближенном анализе: проблемы и достижения

    Chebyshevskii Sb., 8:4 (2007),  4–49
  70. An error estimate for quadrature formulas with optimal parallelepiped grids

    Chebyshevskii Sb., 3:1 (2002),  41–48
  71. Continuity of the hyperbolic zeta function of lattices

    Mat. Zametki, 63:4 (1998),  522–526
  72. Number of lattice points in the hyperbolic cross

    Mat. Zametki, 63:3 (1998),  363–369
  73. Means over orbits of multidimensional lattices

    Mat. Zametki, 58:1 (1995),  48–66
  74. On regular $p$-adic nets

    Mat. Zametki, 54:6 (1993),  22–32
  75. Computation of the optimal coefficients

    Mat. Zametki, 49:2 (1991),  23–28
  76. An effective proof of Roth's theorem on quadratic dispersion

    Uspekhi Mat. Nauk, 39:4(238) (1984),  155–156

  77. Vladimir Alexeevich Panin (21.01.1957 — 7.11.2025)

    Chebyshevskii Sb., 26:4 (2025),  534–535
  78. Andrey Mikhailovich Zubkov (30.12.1946 — 06.08.2025)

    Chebyshevskii Sb., 26:3 (2025),  419–421
  79. Sergey Vladimirovich Vostokov (13.04.1945 — 6.03.2025)

    Chebyshevskii Sb., 26:3 (2025),  416–418
  80. Anatoly Timofeyevich Fomenko

    Chebyshevskii Sb., 26:2 (2025),  4–6
  81. Valery Ivanovich Ivanov (7.07.1951 — 2.03.2025)

    Chebyshevskii Sb., 26:1 (2025),  258–262
  82. 75-th Anniversary of Professor Urusbi Mukhamedovich Pachev

    Chebyshevskii Sb., 26:1 (2025),  243–257
  83. 85-th anniversary of professor Vladimir Nikolaevich Bezverkhnii

    Chebyshevskii Sb., 26:1 (2025),  5–24
  84. Ashot Enofovich Ustyn (1.09.1937 – 9.06.2024)

    Chebyshevskii Sb., 25:2 (2024),  366–367
  85. Sergei Petrovich Novikov (20.03.1938 – 6.06.2024)

    Chebyshevskii Sb., 25:2 (2024),  364–365
  86. Martin Davidovich Grindlinger (25.03.1932 – 20.05.2024)

    Chebyshevskii Sb., 25:2 (2024),  362–363
  87. In memory of Yury Alexandrovich Drobyshev

    Chebyshevskii Sb., 25:2 (2024),  359–361
  88. Alexander Ivanovich Galochkin (on the 80-th anniversary of his birth)

    Chebyshevskii Sb., 25:2 (2024),  20–28
  89. Alexey Yakovlevich Kanel-Belov

    Chebyshevskii Sb., 24:4 (2023),  380–400
  90. Sergey Sergeevich Demidov (to the 80-th anniversary of his birth)

    Chebyshevskii Sb., 24:1 (2023),  334–355
  91. Igor Moiseevich Krichever (in memoirs)

    Chebyshevskii Sb., 24:1 (2023),  325–333
  92. To memory of Alexander Vasilyevich Mikhalev

    Chebyshevskii Sb., 23:5 (2022),  348–350
  93. To the 90th anniversary of Professor Alexander Sergeevich Simonov (04.09.1932 - 20.02.2013)

    Chebyshevskii Sb., 23:5 (2022),  337–347
  94. Gvozdev Alexander Evgenievich, Doctor of Technical Sciences, Professor, Chief Researcher of the Tula State Lev Tolstoy Pedagogical University — a bright representative of the scientific school of superplasticity of metal systems M. H. Shorshorov

    Chebyshevskii Sb., 23:4 (2022),  405–420
  95. On the 85th anniversary of Ashot Enofovich Ustyan

    Chebyshevskii Sb., 23:4 (2022),  394–404
  96. To the anniversary of the Honored Professor of Moscow University Vladimir Anatolyevich Levin

    Chebyshevskii Sb., 23:4 (2022),  6–10
  97. In memory of Alexey Nikolaevich Parshin

    Chebyshevskii Sb., 23:3 (2022),  306–307
  98. In memory of Alexander Evgenievich Gvozdev

    Chebyshevskii Sb., 23:3 (2022),  304–305
  99. From the history of the department of number theory: to the 150-th anniversary of Moscow State Pedagogical University

    Chebyshevskii Sb., 23:3 (2022),  282–303
  100. To the memory of Boris Mikhailovich Shirokov

    Chebyshevskii Sb., 23:2 (2022),  235–236
  101. To the memory of Viktor Aleksandrovich Vedernikov

    Chebyshevskii Sb., 23:2 (2022),  232–234
  102. Martin Davidovich Grindlinger — founder of the algebraic school and his role in the revival of the number-theoretic school in Tula (To the 90th anniversary of the professor Grindlinger M. D.)

    Chebyshevskii Sb., 23:2 (2022),  212–218
  103. In memory of Vadim Fedorovich Kirichenko

    Chebyshevskii Sb., 23:1 (2022),  328–329
  104. Yuri Valentinovich Nesterenko (to the 75th anniversary)

    Chebyshevskii Sb., 23:1 (2022),  10–20
  105. Vasily Ivanovich Bernik (to the 75th anniversary)

    Chebyshevskii Sb., 23:1 (2022),  6–9
  106. In memory of Vladimir Konstantinovich Kartashov

    Chebyshevskii Sb., 22:5 (2021),  419–421
  107. In memory of Vyacheslav Alexandrovich Artamonov

    Chebyshevskii Sb., 22:5 (2021),  417–418
  108. The twentieth anniversary of the Chebyshevskii Sbornik

    Chebyshevskii Sb., 22:5 (2021),  407–416
  109. Vladimir Nikolaevich Chubarikov (to the 70th anniversary of his birth)

    Chebyshevskii Sb., 22:5 (2021),  5–15
  110. To the memory of Valentin Fedorovich Butuzov

    Chebyshevskii Sb., 22:4 (2021),  385–387
  111. Alexander Ivanovich Nizhnikov (on the 75th anniversary of his birth)

    Chebyshevskii Sb., 22:3 (2021),  479–492
  112. Yuri Filippovich Golovnev (to the 80th anniversary)

    Chebyshevskii Sb., 22:2 (2021),  366–372
  113. Alexander Yuryevich Olshanskii (to the 75th anniversary)

    Chebyshevskii Sb., 22:2 (2021),  347–365
  114. Computer science, computer, computational complexity

    Chebyshevskii Sb., 22:1 (2021),  520–536
  115. Evgeny Vladimirovich Podsypanin

    Chebyshevskii Sb., 21:4 (2020),  425–426
  116. Boris Maximovich Bredikhin and his scientific and pedagogical activity

    Chebyshevskii Sb., 21:4 (2020),  19–28
  117. The 80th anniversary of professor Vladimir Nikolaevich Bezverkhnii

    Chebyshevskii Sb., 21:3 (2020),  317–335
  118. Anatolii Timofeevich Fomenko

    Chebyshevskii Sb., 21:2 (2020),  5–7
  119. Vassiliy Ilyich Nechaev. To the 100-th anniversary

    Chebyshevskii Sb., 21:1 (2020),  404–414
  120. Vladimir Grigorievich Chirskij (to the 70th anniversary)

    Chebyshevskii Sb., 20:2 (2019),  583–593
  121. Alexander Alexandrovich Fomin (to the 70th anniversary)

    Chebyshevskii Sb., 20:2 (2019),  579–582
  122. The life and scientific work of Albert Rubenovich Esayan

    Chebyshevskii Sb., 20:1 (2019),  434–438
  123. In memory of a friend

    Chebyshevskii Sb., 18:4 (2017),  348–351
  124. On mathematical research V. N. Kuznetsova (On the occasion of his 70th birthday)

    Chebyshevskii Sb., 18:2 (2017),  305–314
  125. The 80th anniversary of professor Vladimir Konstantinovich Kartashov

    Chebyshevskii Sb., 18:2 (2017),  298–304
  126. The memory of Michel Deza

    Chebyshevskii Sb., 18:1 (2017),  4–28
  127. Nesterenko Yuri Valentinovich (70 anniversary of Yu. V. Nesterenko)

    Chebyshevskii Sb., 17:4 (2016),  211–2210
  128. Vasily Ivanovich Bernik (on his seventieth)

    Chebyshevskii Sb., 17:4 (2016),  203–210
  129. Anniversary Chebyshevskii sbornik

    Chebyshevskii Sb., 17:4 (2016),  5–10
  130. 80 years from the birthday of Alevtina Vasil'evna Zhmuleva

    Chebyshevskii Sb., 17:3 (2016),  221–226
  131. To 65-anniversary of the birth of Dmitry Alekseevich Mitkin (25.04.1951–09.04.2007)

    Chebyshevskii Sb., 17:2 (2016),  214–223
  132. Pikhtilkov Sergrey Alekseevich. The life and scientific activity

    Chebyshevskii Sb., 17:1 (2016),  299–309
  133. The creation of the geometrical drawings in Ti$k$Z

    Chebyshevskii Sb., 16:2 (2015),  282–295
  134. The 95th anniversary of Vassiliy Ilyich Nechaev

    Chebyshevskii Sb., 16:1 (2015),  317–331
  135. The 105-year anniversary of Vladimir Dmitrievich Podsypanin (16.01.1910–11.10.1968)

    Chebyshevskii Sb., 16:1 (2015),  301–316
  136. Conceptual schemes

    Chebyshevskii Sb., 15:2 (2014),  134–140
  137. Ашот Енофович Устян

    Chebyshevskii Sb., 13:3 (2012),  116–120
  138. К 80-летию Александра Сергеевича Симонова

    Chebyshevskii Sb., 13:3 (2012),  111–115
  139. Альберт Рубенович Есаян (к семидесятипятилетию)

    Chebyshevskii Sb., 13:3 (2012),  106–110
  140. Vladimir Nikolaevich Chubarikov (on his 60th birthday)

    Uspekhi Mat. Nauk, 67:1(403) (2012),  187–191
  141. Vladimir Nikolaevich Chubarikov (on the occasion of his sixtieth birthday)

    Chebyshevskii Sb., 12:4 (2011),  4–14

© Steklov Math. Inst. of RAS, 2026