Malyshev Aleksandr Vasil'evich

Publications in Math-Net.Ru

1. The main notions and theoremes of the geometry of numbers
   
   Chebyshevskii Sb., 20:3 (2019),  43–73
2. 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
3. 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
4. On the distribution of integer points on some unparted hyperboloids
   
   Zap. Nauchn. Sem. LOMI, 121 (1983),  83–93
5. Ergodic properties of integer points on the ellipsoids of genus $\mathscr J_{[\Omega,1]}$
   
   Zap. Nauchn. Sem. LOMI, 106 (1981),  17–51
6. On the arithmetic of matrices of second order
   
   Zap. Nauchn. Sem. LOMI, 93 (1980),  41–86
7. 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
8. Representation of integers by positive ternary quadratic forms (a new modification of the discrete ergodic method)
   
   Zap. Nauchn. Sem. LOMI, 82 (1979),  33–87
9. 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
10. On the aplication of computer to proof a Minkowski a conjecture in geometry of number
    
    Zap. Nauchn. Sem. LOMI, 71 (1977),  163–180
11. 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
12. Markov and Lagrange spectra (survey of the literature)
    
    Zap. Nauchn. Sem. LOMI, 67 (1977),  5–38
13. Simultaneous representation of a pair of numbers by sums of integers and their squares
    
    Trudy Mat. Inst. Steklov., 142 (1976),  122–134
14. A new modification of Linnik's ergodic method in number theory
    
    Zap. Nauchn. Sem. LOMI, 50 (1975),  179–186
15. 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
16. Mordell's method of polar lattices in geometry of numbers
    
    Zap. Nauchn. Sem. LOMI, 33 (1973),  97–115
17. A note on star sets
    
    Zap. Nauchn. Sem. LOMI, 33 (1973),  94–96
18. 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
19. On the weighted number of integer points on a quadric
    
    Zap. Nauchn. Sem. LOMI, 1 (1966),  6–83
20. On the representation of integers by positive quadratic forms
    
    Trudy Mat. Inst. Steklov., 65 (1962),  3–212
21. 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
22. Representation of integers by positive quadratic forms with four and more variables
    
    Dokl. Akad. Nauk SSSR, 133:6 (1960),  1294–1297
23. Gauss and Kloosterman sums
    
    Dokl. Akad. Nauk SSSR, 133:5 (1960),  1017–1020
24. Quadratic forms in an arbitrary field. A generalization of Pall's theorem
    
    Uspekhi Mat. Nauk, 15:3(93) (1960),  167–172
25. 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
26. 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
27. Representation of large numbers by positive ternary quadratic forms of odd relatively prime invariants
    
    Dokl. Akad. Nauk SSSR, 118:6 (1958),  1078–1080
28. The distribution of integer points on a four-dimensional sphere
    
    Dokl. Akad. Nauk SSSR, 114:1 (1957),  25–28
29. Asymptotic distribution of points with integral coordinates on certain ellipsoids
    
    Izv. Akad. Nauk SSSR Ser. Mat., 21:4 (1957),  457–500
30. 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
31. On the Minkowski-Hlawka theorem concerning a star body
    
    Uspekhi Mat. Nauk, 7:2(48) (1952),  168–171


32. Nikolai Grigor'evich Chudakov (obituary)
    
    Uspekhi Mat. Nauk, 42:5(257) (1987),  189–190
33. Nicolai Grigor'evich Chudakov (on his 70th birthday)
    
    Uspekhi Mat. Nauk, 30:3(183) (1975),  195–197
34. Foreword of editor
    
    Zap. Nauchn. Sem. LOMI, 50 (1975),  4–5
35. Yurii Vladimirovich Linnik (obituary)
    
    Uspekhi Mat. Nauk, 28:2(170) (1973),  197–213
36. Foreword of editor
    
    Zap. Nauchn. Sem. LOMI, 33 (1973),  4–5
37. 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
38. Mark Borisovich Barban (obituary)
    
    Uspekhi Mat. Nauk, 24:2(146) (1969),  213–216
39. Introduction
    
    Zap. Nauchn. Sem. LOMI, 1 (1966),  5
40. Yurii Vladimirovich Linnik (on his fiftieth birthday)
    
    Uspekhi Mat. Nauk, 20:2(122) (1965),  221–236
41. Boris Alekseevich Venkov (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 16:4(100) (1961),  235–240
42. Leningrad Mathematical Society
    
    Uspekhi Mat. Nauk, 14:6(90) (1959),  212
43. 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
44. Letter to the editors
    
    Izv. Akad. Nauk SSSR Ser. Mat., 22:5 (1958),  735
45. Corrections
    
    Uspekhi Mat. Nauk, 10:1(63) (1955),  243–244