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1971, Volume 196, Number 4  


MATHEMATICS
Distribution of the norms of the hyperbolic elements of the modular group and the class number of indefinite binary quadratic forms
A. N. Andrianov, O. M. Fomenko
743
On the smoothness of quasi-conformal mappings in closed domains
V. A. Danilov
746
Some exact inequalities between best approximations and moduli of continuity
V. V. Zhuk
748
A nilpotent $p$-group possesses an outer automorphism
A. E. Zalesskii
751
Linear programming problems with matrices of arbitrary block structure
R. A. Zvyagina
755
Distribution of power residues and nonresidues in additive sequences
A. A. Karatsuba
759
Some problems in the theory of plasticity
R. I. Kachurovskii
761
Estimate of a sum of Legendre symbols
N. M. Korobov
764
On interior points of nondegenerate constructive curves
S. N. Manukian
768
Diophantine representation of the set of prime numbers
Yu. V. Matiyasevich
770
On a problem of Banach
E. M. Nikishin
774
Some problems of extrapolation of random fields
O. A. Orevkova
776
Differential games of systems with aftereffect
Yu. S. Osipov
779
On moduli of Riemann surfaces
V. V. Savin
783
Methods for the approximate solution of linear conditionally well posed problems
V. N. Strakhov
786
Ballot problem with a random error
Yu. Shmukler
789
Solvability “in the large” of the Cauchy problem for a first order quasi- linear hyperbolic system
S. Ya. Yakubov
793

THEORY OF ELASTICITY
The possibility of realizing the moment-free state of a shell by using reinforcement
Yu. V. Nemirovskii, G. I. Starostin
797

ASTRONOMY
Thermophysical properties of lunar matter delivered by automatic interplanetary station “Luna-16”
V. S. Avduevskii, N. A. Anfimov, M. Ya. Marov, S. P. Shalaev, A. P. Èkonomov
801
Investigation of faint meteor characteristics by the radiomethod
B. L. Kashcheev, B. S. Dudnik, N. V. Novoselova, A. A. Tkachuk
805

PHYSICS
Einstein relations for stimulated chemiluminescence and their application to high-pressure chemical lasers
S. I. Pekar, V. A. Kochelap
808
On electrical conductivity of optically transparent xenon plasma
A. T. Rakhimov, V. D. Pis'mennyi
812
The influence of bombarding electron energy on radiative-mechanical effect
Vikt. I. Spitsyn, O. A. Troitskii, P. Ya. Glazunov
814
 
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