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Linnik Yurii Vladimirovich

Publications in Math-Net.Ru

  1. Recent works of I. M. Vinogradov

    Trudy Mat. Inst. Steklov., 132 (1973),  27–29
  2. Application of theorems on primes to diophantine problems of a special type

    Mat. Zametki, 12:3 (1972),  243–250
  3. The properties of minimal first entry plans for multinomial processes

    Zap. Nauchn. Sem. LOMI, 29 (1972),  3–8
  4. Unbiased estimation and matrix loss functions

    Dokl. Akad. Nauk SSSR, 200:5 (1971),  1024–1025
  5. Families with “self-control”

    Dokl. Akad. Nauk SSSR, 199:4 (1971),  766–769
  6. Convex loss functions in the theory of unbiased estimation

    Dokl. Akad. Nauk SSSR, 198:3 (1971),  527–529
  7. Monotone convex matrix loss functions in statistics

    Trudy Mat. Inst. Steklov., 112 (1971),  291–299
  8. A certain application of algebraic number theory to mathematical statistics

    Trudy Mat. Inst. Steklov., 112 (1971),  22–29
  9. On the theory of sequential estimation

    Dokl. Akad. Nauk SSSR, 194:2 (1970),  270–272
  10. A note concerning the Kramér-Rao and Bhattacharyya inequalities in statistical estimation theory

    Mat. Zametki, 8:1 (1970),  3–7
  11. Application of number theory in mathematical statistics

    Mat. Zametki, 7:4 (1970),  383–388
  12. Gamma-distributions and partial sufficiency of polynomials

    Trudy Mat. Inst. Steklov., 111 (1970),  40–51
  13. Nonlinear statistics and random linear forms

    Trudy Mat. Inst. Steklov., 111 (1970),  23–39
  14. Sequential estimation schemes and Markov stopping times

    Dokl. Akad. Nauk SSSR, 185:6 (1969),  1222–1225
  15. A remark on analytic transformations of normal vectors

    Teor. Veroyatnost. i Primenen., 13:4 (1968),  751–754
  16. Polynomial statistics from a normal sample

    Dokl. Akad. Nauk SSSR, 176:4 (1967),  766–767
  17. A contribution to the theory of aproximately mindmax detecting of a vector signal in a Gaussian noise

    Teor. Veroyatnost. i Primenen., 12:3 (1967),  401–417
  18. Approximately minimax detection of vector signal on a Gaussian background

    Dokl. Akad. Nauk SSSR, 169:3 (1966),  523–524
  19. Asymptotic behavior in the general Hardy–Littlewood problem

    Dokl. Akad. Nauk SSSR, 168:5 (1966),  975–977
  20. On the theory of the Hotelling test

    Dokl. Akad. Nauk SSSR, 168:4 (1966),  743–746
  21. Hypoelliptic curves and the least prime quadratic residue

    Dokl. Akad. Nauk SSSR, 168:2 (1966),  259–261
  22. Binary additive problems with ergodic properties of the solutions

    Dokl. Akad. Nauk SSSR, 166:6 (1966),  1267–1269
  23. Asymptotic behavior and ergodic properties of solutions of the generalized Hardy–Littlewood equation

    Mat. Sb. (N.S.), 71(113):2 (1966),  145–161
  24. Approximately minimax detecting of a vector signal in Gaussian noise

    Teor. Veroyatnost. i Primenen., 11:4 (1966),  561–578
  25. Tests, unbiased estimates, and cotest ideals

    Dokl. Akad. Nauk SSSR, 161:3 (1965),  520–522
  26. An application of a theorem of H. Cartan to mathematical statistics

    Dokl. Akad. Nauk SSSR, 160:6 (1965),  1248–1249
  27. Questions in the theory of estimation and the testing of hypotheses

    Itogi Nauki. Ser. Teor. Veroyatn. 1963, 1965,  5–48
  28. On homogeneous tests for the Behrens–Fisher problem

    Trudy Mat. Inst. Steklov., 79 (1965),  54–63
  29. On the construction of optimal similar solutions of the Behrens–Fisher problem

    Trudy Mat. Inst. Steklov., 79 (1965),  40–53
  30. Characterization of tests of the Bartlett–Scheffé type

    Trudy Mat. Inst. Steklov., 79 (1965),  32–39
  31. A remark on the theory of the Fisher–Welch–Wald test

    Teor. Veroyatnost. i Primenen., 10:4 (1965),  727–730
  32. Statistical problems with nuisance parameters

    Dokl. Akad. Nauk SSSR, 157:1 (1964),  49–51
  33. A non-randomized homogeneous test in the Behrens–Fisher problem

    Dokl. Akad. Nauk SSSR, 155:6 (1964),  1262–1264
  34. On the distribution of primes in short progressions $\operatorname{mod}p^n$

    Dokl. Akad. Nauk SSSR, 154:4 (1964),  751–753
  35. Remarks on the Fisher–Welch–Wald test

    Dokl. Akad. Nauk SSSR, 154:3 (1964),  514–516
  36. Randomized homogeneous tests for the Behrens–Fisher problem

    Izv. Akad. Nauk SSSR Ser. Mat., 28:2 (1964),  249–260
  37. On a Characteristic Property of the Normal Law

    Teor. Veroyatnost. i Primenen., 9:4 (1964),  692–695
  38. On Polynomial Statistics for the Normal and Related Laws

    Teor. Veroyatnost. i Primenen., 9:3 (1964),  547–550
  39. On A. Wald Test Comparing Two Normal Samples

    Teor. Veroyatnost. i Primenen., 9:1 (1964),  16–30
  40. On the theory of tests for two normal samples

    Dokl. Akad. Nauk SSSR, 152:3 (1963),  548–549
  41. On the Wald test

    Dokl. Akad. Nauk SSSR, 150:2 (1963),  254–255
  42. On the analytic theory of tests for the Behrens–Fisher problem

    Dokl. Akad. Nauk SSSR, 150:1 (1963),  26–27
  43. Complex variables in problems with nuisance parameters and finite-rank sufficient statistics

    Dokl. Akad. Nauk SSSR, 149:5 (1963),  1026–1028
  44. On the asymptotics of the distribution of a maximum likelihood statistic

    Dokl. Akad. Nauk SSSR, 149:3 (1963),  518–520
  45. Application of complex variables to the study of the Behrens–Fisher problem

    Dokl. Akad. Nauk SSSR, 149:2 (1963),  252–255
  46. Some Remarks on Estimation by Means of Confidence Regions in the «Least Squares Method»

    Teor. Veroyatnost. i Primenen., 8:2 (1963),  217–218
  47. On the asymptotic behavior of integral matrices of third order

    Dokl. Akad. Nauk SSSR, 146:5 (1962),  1007–1008
  48. On the theory of statistically similar regions

    Dokl. Akad. Nauk SSSR, 146:2 (1962),  300–302
  49. Statistically similar zones of linear type

    Dokl. Akad. Nauk SSSR, 144:5 (1962),  974–976
  50. Limit Theorems for Sums of Independent Variables Taking into Account Large Deviations. III

    Teor. Veroyatnost. i Primenen., 7:2 (1962),  121–134
  51. New versions and new uses of the dispersion methods in binary additive problems

    Dokl. Akad. Nauk SSSR, 137:6 (1961),  1299–1302
  52. All large numbers are sums of a prime and two squares (A problem of Hardy and Littlewood). II

    Mat. Sb. (N.S.), 53(95):1 (1961),  3–38
  53. Limit Theorems for Sums of Independent Variables Taking into Account Large Deviations. II

    Teor. Veroyatnost. i Primenen., 6:4 (1961),  377–391
  54. Limit Theorems for Sums of Independent Variables Taking into Account Large Deviations. I

    Teor. Veroyatnost. i Primenen., 6:2 (1961),  145–163
  55. New limit theorems for sums of independent random variables

    Dokl. Akad. Nauk SSSR, 133:6 (1960),  1291–1293
  56. The sixth moment for the $L$-series and an asymptotic formula in Hardy–Littlewood's problem

    Dokl. Akad. Nauk SSSR, 133:5 (1960),  1015–1016
  57. An asymptotic formula in an additive problem of Hardy-Littlewood

    Izv. Akad. Nauk SSSR Ser. Mat., 24:5 (1960),  629–706
  58. All large numbers are sums of a prime and two squares (A problem of Hardy and Littlewood). I

    Mat. Sb. (N.S.), 52(94):2 (1960),  661–700
  59. Some additive problems

    Mat. Sb. (N.S.), 51(93):2 (1960),  129–154
  60. An arithmetic analogue of Brownian motion

    Izv. Vyssh. Uchebn. Zaved. Mat., 1959, no. 6,  88–95
  61. Some remarks on estimates of trigonometric sums

    Uspekhi Mat. Nauk, 14:3(87) (1959),  153–160
  62. An Information-Theoretic Proof of the Central Limit Theorem with Lindeberg Conditions

    Teor. Veroyatnost. i Primenen., 4:3 (1959),  311–321
  63. General Theorems on the Factorization of Infinitely Divisible Laws. III

    Teor. Veroyatnost. i Primenen., 4:2 (1959),  150–171
  64. General Theorems on the Factorization of Infinitely Divisible Laws II. Sufficient Conditions

    Teor. Veroyatnost. i Primenen., 4:1 (1959),  55–85
  65. Solution of some binary additive problems by computing dispersion in progressions

    Dokl. Akad. Nauk SSSR, 123:6 (1958),  975–977
  66. Dispersion of divisors and quadratic forms in progressions and certain binary additive problems

    Dokl. Akad. Nauk SSSR, 120:5 (1958),  960–962
  67. General Theorems on the Factorization of Infinitely Divisible Laws

    Teor. Veroyatnost. i Primenen., 3:1 (1958),  3–40
  68. On the factorization of infinitely divisible laws

    Dokl. Akad. Nauk SSSR, 116:5 (1957),  735–737
  69. Some theorems on the resolution of infinitely divisible laws into components

    Dokl. Akad. Nauk SSSR, 116:4 (1957),  549–551
  70. On the composition of Gauss and Poisson probability laws

    Dokl. Akad. Nauk SSSR, 114:1 (1957),  21–24
  71. On “determining statistics”; a generalization of the problem of moments

    Dokl. Akad. Nauk SSSR, 113:5 (1957),  974–976
  72. Estimate of the sum of the number of divisors in a short segment of an arithmetic progression

    Uspekhi Mat. Nauk, 12:4(76) (1957),  277–280
  73. Asymptotic-geometric and ergodic properties of sets of lattice points on a sphere

    Mat. Sb. (N.S.), 43(85):2 (1957),  257–276
  74. Some Remarks on the Method of Least Squares, with Application to Direct and Inverse Location Problems

    Teor. Veroyatnost. i Primenen., 2:3 (1957),  349–359
  75. On the Decomposition of the Convolution of Gaussian and Poissonian Laws

    Teor. Veroyatnost. i Primenen., 2:1 (1957),  34–59
  76. A problem in differential algebra originating in mathematical statistics

    Uspekhi Mat. Nauk, 11:3(69) (1956),  169–170
  77. An elementary theorem on the theory of prime numbers

    Uspekhi Mat. Nauk, 11:2(68) (1956),  191–192
  78. A Remark on Cramer’s Theorem on the Decomposition of the Normal Law

    Teor. Veroyatnost. i Primenen., 1:4 (1956),  479–480
  79. Determining the probability distribution by a statistics distribution

    Teor. Veroyatnost. i Primenen., 1:4 (1956),  466–478
  80. A problem on characteristic functions of probability distributions

    Uspekhi Mat. Nauk, 10:1(63) (1955),  137–138
  81. Application of the theory of Markov chains to the arithmetic of quaternions

    Uspekhi Mat. Nauk, 9:4(62) (1954),  203–210
  82. Application of the arithmetic of quaternions to the theory of ternary quadratic forms and to the decomposition of numbers into cubes

    Uspekhi Mat. Nauk, 8:5(57) (1953),  3–71
  83. Addition of prime numbers with powers of one and the same number

    Mat. Sb. (N.S.), 32(74):1 (1953),  3–60
  84. Some conditional theorems concerning the binary Goldbach problem

    Izv. Akad. Nauk SSSR Ser. Mat., 16:6 (1952),  503–520
  85. On the decomposition of the product of three numbers into the sum of two squares

    Trudy Mat. Inst. Steklov., 38 (1951),  170–172
  86. Prime numbers and powers of two

    Trudy Mat. Inst. Steklov., 38 (1951),  152–169
  87. On a question of the statistics of dependent events

    Izv. Akad. Nauk SSSR Ser. Mat., 14:6 (1950),  501–522
  88. An elementary proof of Siegel's theorem based on the method of I. M. Vinogradov. (With an appendix of a short analytical proof)

    Izv. Akad. Nauk SSSR Ser. Mat., 14:4 (1950),  327–342
  89. An elementary method for a problem of the theory of prime numbers

    Uspekhi Mat. Nauk, 5:2(36) (1950),  198
  90. Multiple integrals and local laws for inhomogeneous Markov chains

    Izv. Akad. Nauk SSSR Ser. Mat., 13:6 (1949),  533–566
  91. On the theory of nonuniform Markov chains

    Izv. Akad. Nauk SSSR Ser. Mat., 13:1 (1949),  65–94
  92. Quaternions and Cayley numbers; some applications of the arithmetic of quaternions

    Uspekhi Mat. Nauk, 4:5(33) (1949),  49–98
  93. On certain hypotheses in the theory of Dirichlet characters

    Izv. Akad. Nauk SSSR Ser. Mat., 11:6 (1947),  539–546
  94. On the accuracy of the approximation to the Gauss distribution by sums of independent variables

    Izv. Akad. Nauk SSSR Ser. Mat., 11:2 (1947),  111–138
  95. On the density of the zeros of $L$-series

    Izv. Akad. Nauk SSSR Ser. Mat., 10:1 (1946),  35–46
  96. A new proof of the Goldbach–Vinogradow theorem

    Rec. Math. [Mat. Sbornik] N.S., 19(61):1 (1946),  3–8
  97. On the characters of primes. I

    Rec. Math. [Mat. Sbornik] N.S., 16(58):2 (1945),  101–120
  98. On the least prime in an arithmetic progression. II. The Deuring–Heilbronn phenomenon

    Rec. Math. [Mat. Sbornik] N.S., 15(57):3 (1944),  347–368
  99. On the least prime in an arithmetic progression. I. The basic theorem

    Rec. Math. [Mat. Sbornik] N.S., 15(57):2 (1944),  139–178
  100. On Dirichlet's $L$-series and prime-number sums

    Rec. Math. [Mat. Sbornik] N.S., 15(57):1 (1944),  3–12
  101. An elementary solution of the problem of Waring by Schnirelman's method

    Rec. Math. [Mat. Sbornik] N.S., 12(54):2 (1943),  225–230
  102. On the representation of large numbers as sums of seven cubes

    Rec. Math. [Mat. Sbornik] N.S., 12(54):2 (1943),  218–224
  103. On Weyl's sums

    Rec. Math. [Mat. Sbornik] N.S., 12(54):1 (1943),  28–39
  104. New estimations of Weyl's sums by the method due to Vinogradow

    Izv. Akad. Nauk SSSR Ser. Mat., 6:1-2 (1942),  41–70
  105. On Erdös's theorem on the addition of numerical sequences

    Rec. Math. [Mat. Sbornik] N.S., 10(52):1-2 (1942),  67–78
  106. Über die Darstellung ganzer Zahlen durch positive ternäre quadratische Formen

    Izv. Akad. Nauk SSSR Ser. Mat., 4:4-5 (1940),  363–402
  107. A general theorem on representation of numbers by some ternary quadratic forms

    Izv. Akad. Nauk SSSR Ser. Mat., 3:1 (1939),  87–108
  108. On certain results relating to positive ternary quadratic forms

    Rec. Math. [Mat. Sbornik] N.S., 5(47):3 (1939),  453–471
  109. Generalization of Frobenius theorem and its connection with Hurwitz's theorem on composition of quadratic forms

    Izv. Akad. Nauk SSSR Ser. Mat., 2:1 (1938),  41–52

  110. Поправки к статье “Выпуклые функции потерь в теории несмещенного оценивания” (ДАН, т. 198, № 3, 1971 г.)

    Dokl. Akad. Nauk SSSR, 202:6 (1972),  742
  111. Leonid Vital'evich Kantorovich (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 27:3(165) (1972),  221–227
  112. On book of N. I. Gavrilov, The Riemann problem on the distribution of the roots of the zeta function

    Uspekhi Mat. Nauk, 26:3(159) (1971),  238–247
  113. Ivan Nikolaevich Sanov (obituary)

    Uspekhi Mat. Nauk, 24:4(148) (1969),  177–179
  114. Aleksandr Osipovich Gel'fond (obituary)

    Uspekhi Mat. Nauk, 24:3(147) (1969),  219–220
  115. Sergei Natanovich Bernshtein (obituary)

    Teor. Veroyatnost. i Primenen., 14:1 (1969),  113–121
  116. Dmitrii Konstantinovich Faddeev (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 23:3(141) (1968),  189–195
  117. Nikolai Aleksandrovich Sapogov (on his fiftieth birthday)

    Uspekhi Mat. Nauk, 21:2(128) (1966),  259–260
  118. Поправки к статье “Статистические задачи с мешающими параметрами” (ДАН, т. 157, № 1, 1964 г.)

    Dokl. Akad. Nauk SSSR, 163:4 (1965),  790
  119. Nikolai Grigor'evich Chudakov (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 20:2(122) (1965),  237–240
  120. Preface

    Trudy Mat. Inst. Steklov., 79 (1965),  3
  121. Ivan Matveevich Vinogradov (on his seventieth birthday)

    Uspekhi Mat. Nauk, 17:2(104) (1962),  201–214
  122. On an erroneous paper of N. I. Gavrilov

    Uspekhi Mat. Nauk, 17:1(103) (1962),  265–267
  123. Vladimir Abramovich Tartakovskii (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 16:5(101) (1961),  225–230
  124. On S. N. Bernshtein's work in the theory of probability

    Uspekhi Mat. Nauk, 16:2(98) (1961),  25–26
  125. Letter to the Editor

    Mat. Sb. (N.S.), 53(95):1 (1961),  38
  126. Errata to the article in v. III , № 1, 1958

    Teor. Veroyatnost. i Primenen., 5:3 (1960),  376
  127. Nikolai Sergeevich Koshlyakov (obituary)

    Uspekhi Mat. Nauk, 14:3(87) (1959),  115–122
  128. Conference on the Application of Mathematical Methods in Biology

    Teor. Veroyatnost. i Primenen., 4:1 (1959),  114–116
  129. Nikolai Pavlovich Romanov (on the fiftieth anniversary of his birth)

    Uspekhi Mat. Nauk, 12:3(75) (1957),  251–253
  130. Aleksandr Osipovich Gel'fond (on the fiftieth anniversary of his birth)

    Uspekhi Mat. Nauk, 11:5(71) (1956),  239–248
  131. Erratum

    Uspekhi Mat. Nauk, 11:4(70) (1956),  232
  132. About the journal “Vestnik Leningradskogo Universiteta”

    Uspekhi Mat. Nauk, 11:1(67) (1956),  268–269
  133. Nikolai Grigor'evich Chudakov (on his fiftieth birthday)

    Uspekhi Mat. Nauk, 10:3(65) (1955),  213–215
  134. V. A. Unkovskii, Theory of probability (review)

    Uspekhi Mat. Nauk, 9:3(61) (1954),  278–282
  135. H. Hasse, Lectures on the theory of numbers (review)

    Uspekhi Mat. Nauk, 9:2(60) (1954),  229–232
  136. Andrei Andreevich Markov (on his fiftieth birthday)

    Uspekhi Mat. Nauk, 9:1(59) (1954),  145–149
  137. B. V. Gnedenko, A course of probability theory (review)

    Uspekhi Mat. Nauk, 8:3(55) (1953),  206–9

© Steklov Math. Inst. of RAS, 2024