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Malyshev, Aleksandr Vasil'evich
(1928–1993)
Statistics Math-Net.Ru
Total publications: 45
Scientific articles: 31

Number of views:
This page:2838
Abstract pages:12873
Full texts:6286
References:190
Professor
Doctor of physico-mathematical sciences
Birth date: 17.11.1928

https://www.mathnet.ru/eng/person22336
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/193445

Publications in Math-Net.Ru Citations
2019
1. A. V. Malyshev, “The main notions and theoremes of the geometry of numbers”, Chebyshevskii Sb., 20:3 (2019),  43–73  mathnet 1
1986
2. N. M. Glazunov, A. S. Golovanov, A. V. Malyshev, “The proof of the Minkowski's conjecture concerning the critical determinant of the region $|x|^p+|y|^p<1$”, Zap. Nauchn. Sem. LOMI, 151 (1986),  40–53  mathnet  zmath 1
3. A. K. Andriyas'an, I. V. Il'in, A. V. Malyshev, “An application of a computer to the estimates of the Chebotarev type in the non-homogeneous Minkowski conjecture”, Zap. Nauchn. Sem. LOMI, 151 (1986),  7–25  mathnet  zmath
1983
4. A. V. Malyshev, Nguyen Ngor Goi, “On the distribution of integer points on some unparted hyperboloids”, Zap. Nauchn. Sem. LOMI, 121 (1983),  83–93  mathnet  mathscinet  zmath 6
1981
5. N. N. Belova, A. V. Malyshev, “Ergodic properties of integer points on the ellipsoids of genus $\mathscr J_{[\Omega,1]}$”, Zap. Nauchn. Sem. LOMI, 106 (1981),  17–51  mathnet  mathscinet  zmath; J. Soviet Math., 23:2 (1983), 2115–2140 6
1980
6. A. V. Malyshev, U. M. Pachev, “On the arithmetic of matrices of second order”, Zap. Nauchn. Sem. LOMI, 93 (1980),  41–86  mathnet  mathscinet  zmath; J. Soviet Math., 19:2 (1982), 1096–1122 14
7. A. V. Malyshev, “On the application of the discrete ergodic method to the analytical arithmetic of indefinite ternary quadratic forms”, Zap. Nauchn. Sem. LOMI, 93 (1980),  5–24  mathnet  mathscinet  zmath; J. Soviet Math., 19:2 (1982), 1073–1084 5
1979
8. A. V. Malyshev, U. M. Pachev, “Representation of integers by positive ternary quadratic forms (a new modification of the discrete ergodic method)”, Zap. Nauchn. Sem. LOMI, 82 (1979),  33–87  mathnet  mathscinet  zmath; J. Soviet Math., 18:6 (1982), 866–912 6
9. A. V. Malyshev, “Critical determinant of the region $|x|^p+|y|^p<1$ (Supplement to the paper “On the application of the electronic computer to the proof of a conjecture of Minkowski from the geometry of numbers,” Zap. Nauchn. Sem. Lomi, 71, 163–180, 1977)”, Zap. Nauchn. Sem. LOMI, 82 (1979),  29–32  mathnet  mathscinet  zmath; J. Soviet Math., 18:6 (1982), 862–865 3
1977
10. A. V. Malyshev, “On the aplication of computer to proof a Minkowski a conjecture in geometry of number”, Zap. Nauchn. Sem. LOMI, 71 (1977),  163–180  mathnet  mathscinet  zmath; J. Soviet Math., 20:6 (1982), 2620–2635 4
11. K. I. Grishmanovskaya, A. V. Malyshev, U. M. Pachev, A. M. Fidarova, “Proof of Minkowski's conjecture concerning the critical determinant of the region $|x|^p+|y|^p<1$ for $5<p<6$”, Zap. Nauchn. Sem. LOMI, 67 (1977),  95–107  mathnet  mathscinet  zmath; J. Soviet Math., 16:1 (1981), 827–836 3
12. A. V. Malyshev, “Markov and Lagrange spectra (survey of the literature)”, Zap. Nauchn. Sem. LOMI, 67 (1977),  5–38  mathnet  mathscinet  zmath; J. Soviet Math., 16:1 (1981), 767–788 7
1976
13. A. B. Voronetskii, A. V. Malyshev, “Simultaneous representation of a pair of numbers by sums of integers and their squares”, Trudy Mat. Inst. Steklov., 142 (1976),  122–134  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 142 (1979), 129–142 1
1975
14. A. V. Malyshev, “A new modification of Linnik's ergodic method in number theory”, Zap. Nauchn. Sem. LOMI, 50 (1975),  179–186  mathnet  mathscinet  zmath
1974
15. A. V. Malyshev, E. V. Podsypanin, “Analytic methods in the theory of systems of Diophantine equations and inequalities with a large number of unknowns”, Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 12 (1974),  5–50  mathnet  mathscinet  zmath; J. Soviet Math., 5:6 (1976), 753–785 2
1973
16. A. V. Malyshev, “Mordell's method of polar lattices in geometry of numbers”, Zap. Nauchn. Sem. LOMI, 33 (1973),  97–115  mathnet  mathscinet  zmath 2
17. A. V. Malyshev, “A note on star sets”, Zap. Nauchn. Sem. LOMI, 33 (1973),  94–96  mathnet  mathscinet  zmath
1966
18. A. V. Malyshev, “On the Fourier coefficients of the modular forms (Remarks on the article “A generalization of Kloosterman sums and their estimates”)”, Zap. Nauchn. Sem. LOMI, 1 (1966),  140–163  mathnet  mathscinet  zmath 1
19. A. V. Malyshev, “On the weighted number of integer points on a quadric”, Zap. Nauchn. Sem. LOMI, 1 (1966),  6–83  mathnet  mathscinet  zmath; Sem. Math. V. A. Steklov, 1 (1968), 1–30 7
1962
20. A. V. Malyshev, “On the representation of integers by positive quadratic forms”, Trudy Mat. Inst. Steklov., 65 (1962),  3–212  mathnet  mathscinet  zmath 35
1961
21. A. V. Malyshev, “A new variant of the proof of the Stuff–Minkowski theorem on the finiteness of the number of edges of the Hermite reduction region”, Uspekhi Mat. Nauk, 16:2(98) (1961),  127–129  mathnet  mathscinet  zmath
1960
22. A. V. Malyshev, “Representation of integers by positive quadratic forms with four and more variables”, Dokl. Akad. Nauk SSSR, 133:6 (1960),  1294–1297  mathnet  mathscinet  zmath
23. A. V. Malyshev, “Gauss and Kloosterman sums”, Dokl. Akad. Nauk SSSR, 133:5 (1960),  1017–1020  mathnet  mathscinet  zmath
24. A. V. Malyshev, “Quadratic forms in an arbitrary field. A generalization of Pall's theorem”, Uspekhi Mat. Nauk, 15:3(93) (1960),  167–172  mathnet  mathscinet  zmath
1959
25. A. V. Malyshev, “On representations of integers by positive quadratic forms with four or more variables. I”, Izv. Akad. Nauk SSSR Ser. Mat., 23:3 (1959),  337–364  mathnet  mathscinet  zmath 1
1958
26. A. V. Malyshev, “The relationship between the theory of the distribution of $L$-series zeroes and the arithmetic of ternary quadratic forms”, Dokl. Akad. Nauk SSSR, 122:3 (1958),  343–345  mathnet  mathscinet  zmath
27. A. V. Malyshev, “Representation of large numbers by positive ternary quadratic forms of odd relatively prime invariants”, Dokl. Akad. Nauk SSSR, 118:6 (1958),  1078–1080  mathnet  mathscinet  zmath
1957
28. A. V. Malyshev, “The distribution of integer points on a four-dimensional sphere”, Dokl. Akad. Nauk SSSR, 114:1 (1957),  25–28  mathnet  mathscinet  zmath
29. A. V. Malyshev, “Asymptotic distribution of points with integral coordinates on certain ellipsoids”, Izv. Akad. Nauk SSSR Ser. Mat., 21:4 (1957),  457–500  mathnet  mathscinet  zmath
1953
30. Yu. V. Linnik, A. V. Malyshev, “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  mathnet  mathscinet  zmath 1
1952
31. A. V. Malyshev, “On the Minkowski-Hlawka theorem concerning a star body”, Uspekhi Mat. Nauk, 7:2(48) (1952),  168–171  mathnet  mathscinet  zmath
1987
32. B. M. Bredikhin, V. E. Voskresenskii, A. A. Karatsuba, A. F. Lavrik, A. V. Malyshev, A. G. Postnikov, V. G. Sprindzhuk, “Nikolai Grigor'evich Chudakov (obituary)”, Uspekhi Mat. Nauk, 42:5(257) (1987),  189–190  mathnet  mathscinet; Russian Math. Surveys, 42:5 (1987), 161–162  isi
1975
33. V. E. Voskresenskii, A. V. Malyshev, G. I. Perel'muter, “Nicolai Grigor'evich Chudakov (on his 70th birthday)”, Uspekhi Mat. Nauk, 30:3(183) (1975),  195–197  mathnet  mathscinet  zmath; Russian Math. Surveys, 30:3 (1975), 149–152
34. A. V. Malyshev, “Foreword of editor”, Zap. Nauchn. Sem. LOMI, 50 (1975),  4–5  mathnet
1973
35. I. A. Ibragimov, S. M. Lozinskii, A. V. Malyshev, V. V. Petrov, Yu. V. Prokhorov, N. A. Sapogov, D. K. Faddeev, “Yurii Vladimirovich Linnik (obituary)”, Uspekhi Mat. Nauk, 28:2(170) (1973),  197–213  mathnet  mathscinet  zmath; Russian Math. Surveys, 28:2 (1973), 197–215
36. A. V. Malyshev, “Foreword of editor”, Zap. Nauchn. Sem. LOMI, 33 (1973),  4–5  mathnet
1971
37. A. N. Andrianov, A. I. Vinogradov, Yu. V. Linnik, A. V. Malyshev, D. K. Faddeev, N. G. Chudakov, V. A. Yakubovich, “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  mathnet  mathscinet 1
1969
38. A. I. Vinogradov, B. V. Levin, A. V. Malyshev, N. P. Romanov, N. G. Chudakov, “Mark Borisovich Barban (obituary)”, Uspekhi Mat. Nauk, 24:2(146) (1969),  213–216  mathnet  mathscinet  zmath; Russian Math. Surveys, 24:2 (1969), 179–183
1966
39. A. V. Malyshev, “Introduction”, Zap. Nauchn. Sem. LOMI, 1 (1966),  5  mathnet
1965
40. I. I. Ibragimov, A. V. Malyshev, V. V. Petrov, “Yurii Vladimirovich Linnik (on his fiftieth birthday)”, Uspekhi Mat. Nauk, 20:2(122) (1965),  221–236  mathnet  mathscinet  zmath; Russian Math. Surveys, 20:2 (1965), 153–168 1
1961
41. A. V. Malyshev, D. K. Faddeev, “Boris Alekseevich Venkov (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 16:4(100) (1961),  235–240  mathnet  mathscinet  zmath
1959
42. A. V. Malyshev, “Leningrad Mathematical Society”, Uspekhi Mat. Nauk, 14:6(90) (1959),  212  mathnet
1958
43. A. V. Malyshev, “Поправки к статье “О представлении больших чисел положительными тернарными квадратичными формами нечетных взаимно простых инвариантов” (ДАН, т. 118, № 6, 1958 г.)”, Dokl. Akad. Nauk SSSR, 121:2 (1958),  198  mathnet
44. A. V. Malyshev, “Letter to the editors”, Izv. Akad. Nauk SSSR Ser. Mat., 22:5 (1958),  735  mathnet
1955
45. A. V. Malyshev, “Corrections”, Uspekhi Mat. Nauk, 10:1(63) (1955),  243–244  mathnet  zmath 2

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