Alexander Vasilievich Malyshev and his research in number theory
https://doi.org/10.22405/2226-8383-2019-20-3-27-42
Abstract
The article is devoted to the life and scientific and pedagogical activity of the famous mathematician, doctor of physical and mathematical sciences, professor Alexander Vasilevich Malyshev (1928–1993) in connection with the 90th anniversary of his birth. It first provides brief biographical information from his life. The main part of our work is devoted to the achievements of A. V. Malyshev in number theory and scientific-pedagogical and editorialpublishing
activities.
About the Authors
Urusbi Mukhamedovich Pachev
Kabardino-Balkar state University named after H. M. Berbekov (Nalchik)
Russian Federation
Russian Federation
doctor of physical and mathematical Sciences, Professor
Yevgeny Vladimirovich Podsypanin
Peter the Great St. Petersburg Polytechnic University (St. Petersburg)
Russian Federation
candidate of physical and mathematical Sciences, associate Professor
Russian Federation
candidate of physical and mathematical Sciences, associate Professor
References
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18. Malyshev A. V. 1958, ”On the connection of the theory of the distribution of zeros of L–series with the arithmetic of ternary quadratic forms”. Dokl. AN SSSR, vol. 122. № 3. pp. 343–345.
19. Malyshev A. V. 1960, ”On the theory of ternary quadratic forms. On the connection with the Riemann hypothesis”. Vestn. Leningr. University. № 7. pp. 70–84.
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21. Malyshev A. V., Nguˆen ngoc Khˆoi. 1983,”On the distribution of integer points on some onesheeted hyperboloids”. Zap. Nauchn. Seminarov LOMI. vol. 121. pp. 83–93.
22. Belova N. N., Malyshev A. V. 1981, ”Ergodic properties of integer points on the ellipsoids of genus G[w, 1]”. Zap. Nauchn. Seminarov LOMI. vol. 106. pp. 17–51.
23. Podsypanin E. V. 1980, ”Distribution of integer points on the determinant surface”. Zap. Nauchn. Seminarov LOMI. vol. 93. pp. 30–40.
24. Kubensky M. N., Malyshev A. V. 1990, ”The theory of rotations in simple central algebras”. Acta arithm. 53. no. 5, pp. 477–498.
25. Kuharev V. G. On critical determinant of region |x|^p + |y|^p < 1 // Dokl. AN SSSR. vol. 169. no. 6. pp. 1273–1275.
26. Malyshev A. V., Voronetsky A. V. Proof of Minkowski’s conjuncture concerning the critical determinant of the region |x|^p + |y|^p < 1 for p > 6 // Acta arithmetica. vol. 27. 1975. pp. 447–458.
27. Grishmanovskaya K. I., Malyshev A. V., Pachev U. M., Fidarova A. Ch. 1977. Proof of the Minkowski conjecture om the critical determinant of domain |x|^p + |y|^p < 1 in the case 5 < p < 6 // Zap. Nauchn. Seminarov LOMI. Vol. 67. pp. 95–107.
28. Glasunov N. M., Golovanov A. S., Malyshev A. V. 1986. Proof of the Minkowski conjuncture of the critical determinant of a domain |x|^p + |y|^p < 1 // Zap. Nauchn. Seminarov LOMI. Vol. 151. pp. 40–53.
29. Malyshev A. V. 1966. On the Fourier coefficients of modular forms // Zap. Nauchn. Seminarov LOMI. Vol. 1. pp. 140–163.
Review
For citations:
Pachev U.M., Podsypanin Ye.V. Alexander Vasilievich Malyshev and his research in number theory. Chebyshevskii Sbornik. 2019;20(3):27-43. https://doi.org/10.22405/2226-8383-2019-20-3-27-42
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