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1964, Volume 154, Number 4  


MATHEMATICS
On the distribution of primes in short progressions $\operatorname{mod}p^n$
M. B. Barban, Yu. V. Linnik, N. G. Chudakov
751
Computational algorithms for the approximate solution of operator equations
P. S. Bondarenko
754
The Cauchy problem for a differential operator decomposing into wave factors
S. A. Gal'pern, V. E. Kondrashov
757
A power expansion for one-dimensional boundary-value problems
V. V. Ignatenko
760
On the design of circuits from threshold elements
É. I. Nechiporuk
763
Partial topological products
B. Pasynkov
767
Probabilities of large deviations of sums of independent equally distributed random variables
V. V. Petrov
771
Some new integral representations for analytic functions
V. S. Rogozhin
775
On extending the uniqueness property of analytic functions to closed, nowhere dense sets
S. O. Sinanyan
779
On Mahler's conjecture
V. G. Sprindzhuk
783
Boundary-value problems for certain quasi-linear elliptic equations
S. I. Khudyaev
787
Generalized resolvents of an isometric operator
M. E. Chumakin
791
On the existence of similar tests for the Behrens–Fisher problem
O. V. Shalaevskii
795
Completely irreducible representations of the real unimodular group of second order
A. I. Shtern
798

FLUID MECHANICS
Waves excited by a periodic system of pressures traveling across the surface of a rotating liquid
S. S. Voit
802

THEORY OF ELASTICITY
Transmission of load from a stringer of finite length to an infinite or a semi-infinite plate
V. M. Tolkachev
806

ASTRONOMY
Mean radiation density in Metagalaxy and some problems of relativistic cosmology
A. G. Doroshkevich, I. D. Novikov
809

MATHEMATICAL PHYSICS
The quantities of angular momentum theory with negative parameters representing the quantum numbers of the angular momentum
A. A. Bandzaitis, A. V. Karosene, A. J. Savukinas, A. P. Yucis
812

PHYSICS
Functional expansions in statistical-equilibrium theory
Yu. V. Gurikov
815
Paramagnetic resonance of manganese sulphide within a wide temperature range
V. V. Panfilov, L. F. Vereshchagin
819

GEOPHYSICS
The effect of scattering pattern on transparency
K. S. Shifrin, H. M. Aivazyan
824

CRYSTALLOGRAPHY
The effect of oversaturation on the activity of centres of growth
A. P. Kasatkin
827

PHYSICAL CHEMISTRY
The influence of the phase state on the character of the reactions of tritium recoil atoms in the mixtures of cyclohexane with benzene
E. N. Avdonina, An. N. Nesmeyanov
851

CHEMISTRY
The process of metacrylonitryl production by the oxidative ammonolysis of isobutylene in the presence of air oxygen
M. A. Dalin, S. I. Mekhtiev, T. I. Rasulbekova
854
Gertain regularities in the process of ionic polymerization
B. A. Dolgoplosk, E. I. Tinyakova
857
Some properties of zukronium perchlorates and the synthesis of $\mathrm{O}$-glycosides
Yu. A. Zhdanov, G. A. Korolchenko, G. N. Dorofeenko, G. I. Zhungietu
861
Hoffman's splitting of the pyrazoline ring
B. V. Ioffe, K. N. Zelenin
864
The production of heteroniobates of some transition metals
A. V. Lapitskii, L. G. Vlasov, V. I. Bezrukov
868
Reaction of cyclopentadienylmanganesetricarbonyl ketones with Norman's reagent
A. N. Nesmeyanov, K. N. Anisimov, N. E. Kolobova, I. B. Zlotina
871
Two modifications of gelatin
V. A. Pchelin
874
Alkaline hydrolysis kinetics of some phenyl- and chlorophenyl glycosides
B. N. Stepanenko, O. G. Serdyuk
877
Reduction of calcium ferrites by hydrogen under equilibrium conditions
G. I. Chufarov, L. I. Leont'ev
881

PHYSICAL CHEMISTRY
The use of electron spin resonance for measuring atomic oxygen and atomic hydrogen concentrations in rarefied hydrogen flame
V. P. Balakhnin, Yu. M. Gershenzon, V. N. Kondrat'ev, A. B. Nalbandyan
883
Photoionization of the phenyl derivatives of the 5th-group elements
F. I. Vilesov, V. M. Zaitsev
886
The rheology of polymers. The universal nature of the temperature invariant characteristic of the viscosity of polymers in the condensed state
G. V. Vinogradov, A. Ya. Malkin, N. V. Prozorovskaya, V. A. Kargin
890
Electric conductivity and conjugate double bonds of products arising from polyvinyl alcohol pyrolysis
A. Ya. Gel'fman, D. S. Bidnaya, L. V. Sigalova, M. G. Buravleva, V. S. Koba
894
Surface active media, as influencing the development of metal setting during friction
N. L. Golego
897
The electron spin resonance method used for proving the participation of the trapped electron in the radiation chemical reactions taking place in frozen aqueous solutions
B. G. Ershov, A. K. Pikaev, P. Ya. Glazunov, Vikt. I. Spitsyn
899
On the mechanism by which organic compounds are oxidized on solid non-metal catalysts
I. I. Ioffe, Z. I. Ezhkova, A. G. Lyubarskii
903
Unsteady rate of powder burning
O. I. Leĭpunskiĭ, V. I. Kolesnikov-Svinarev, V. N. Marshakov
907
On the mechanism by which radicals are formed when exposing to light ethanol solutions of triphenylamine frozen at $77^\circ$ 
A. K. Piskunov, V. E. Kholmogorov, D. N. Shigorin, N. V. Verein, G. A. Ozerova
910
Nuclear magnetic resonance in polymeres with a system of conjugate bonds
I. Ya. Slonim, Ya. G. Urman, V. A. Vonsyatskii, B. I. Liogon'kii, A. A. Berlin
914
The state of the cathode surface as influencing the character of an electrochemical reaction
Z. A. Solov'eva, A. T. Vagramjan
918
Photocatalytic oxidation of gaseous isopropanol on $\mathrm{ZnO}$ and $\mathrm{TiO}_2$
V. N. Filimonov
922
The work function of iron as influenced by absorbed fluorine
N. A. Shurmovskaya, R. Kh. Burshtein, N. S. Mirolyubova, G. M. Kornacheva
926
 
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