Kuznetsov Nikolai Vasil'evitch

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Total publications: 15
Scientific articles: 14

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Corresponding member of RAS
Doctor of physico-mathematical sciences (1981)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 24.06.1939
Keywords: automorhic functions; asymptotic methods; the Riemann zeta-function.
Main publications:
  • The true order of the Riemann zeta-function on the critical line // Preprint 14 IAM, Khabarovsk, 1998, p. 3–88.
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Publications in Math-Net.Ru
1. Модификация математической модели прогнозирования объемов железнодорожных пассажирских перевозок
N. V. Kuznetsov, N. V. Kuznetsova
Matem. Mod. Kraev. Zadachi, 2 (2005),  156–158
2. Оценка деформации в вершине надреза при моделировании натурного эксперимента на компактном образце по МКЭ
V. P. Bagmutov, N. V. Kuznetsov
Matem. Mod. Kraev. Zadachi, 1 (2005),  55–58
3. Poincaré series and an extension of the Lehmer conjecture
N. V. Kuznetsov
Uspekhi Mat. Nauk, 40:4(244) (1985),  181–182
4. Convolution of the Fourier coefficients of Eisentein–Maas series
N. V. Kuznetsov
Zap. Nauchn. Sem. LOMI, 129 (1983),  43–84
5. Mean value of the Hecke series associated with the cusp forms of weight zero
N. V. Kuznetsov
Zap. Nauchn. Sem. LOMI, 109 (1981),  93–130
6. Petersson's conjecture for cusp forms of weight zero and Linnik's conjecture. Sums of Kloosterman sums
N. V. Kuznetsov
Mat. Sb. (N.S.), 111(153):3 (1980),  334–383
7. On the Lehmer hypothesis. I
N. V. Kuznetsov
Zap. Nauchn. Sem. LOMI, 91 (1979),  52–80
8. The distribution of norms of primitive hyperbolic classes of the modular group and asymptotic formulas for the eigenvalues of the Laplace–Beltrami operator on a fundamental region of the modular group
N. V. Kuznetsov
Dokl. Akad. Nauk SSSR, 242:1 (1978),  40–43
9. Spectral methods in arithmetic problems
N. V. Kuznetsov
Zap. Nauchn. Sem. LOMI, 76 (1978),  159–166
10. On eigen-functions of an integral equation
N. V. Kuznetsov
Zap. Nauchn. Sem. LOMI, 17 (1970),  66–150
11. Asymptotic distribution of eigenfrequencies of a plane membrane in the case of separable variables
N. V. Kuznetsov
Differ. Uravn., 2:10 (1966),  1385–1402
12. Asymptotic formulae for eigenvalues of an elliptic membrane
N. V. Kuznetsov
Dokl. Akad. Nauk SSSR, 161:4 (1965),  760–763
13. An asymptotic formula for eigenvalues of a circular membrane
N. V. Kuznetsov, B. V. Fedosov
Differ. Uravn., 1:12 (1965),  1682–1685
14. A generalization of a theorem stated by V. A. Ambartsumyan
N. V. Kuznetsov
Dokl. Akad. Nauk SSSR, 146:6 (1962),  1259–1262

15. КАК ЭТО БЫЛО (к истории создания ИПМ ДВО РАН)
N. V. Kuznetsov
Dal'nevost. Mat. Zh., 8:1 (2008),  3–4

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