Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1993, Number 2

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1993, Number 2

Mathematics
	Representation of natural numbers by a cubic form in seven variables Nguen Khak Tkhan'	3–7
	Admissible $p$-adic $L$-functions of automorphic forms A. CliDąbrowski	8–12
	Undecidability of the Gödel–Löb logic with quantifiers with respect to propositional variables P. G. Naumov	13–16
	On the guaranteed rate of decrease of Fourier coefficients of continuous functions S. B. Kozyrev	16–20
	Single tests for related faults of switching circuits N. P. Red'kin	20–27
	Search for the eigenpolynomials of the differential operator $P\frac{\partial}{\partial x}+Q\frac{\partial}{\partial y}$ over $\mathbf{C}[x,y]$ A. V. Astrelin	27–31
	Multiplicity of irreducible components of a free Lie algebra as a module of the general linear group V. M. Zhuravlev	31–35
	Rationality constructions of some Fano fourfolds of index $2$ Yu. G. Prokhorov	35–40
	Tauberian-type theorems for Cesàro summability methods S. A. Stepanyants	40–44
	About Noether's relations for three-dimensional Cremona transformations R. A. Gorak	44–49
	Automorphisms of some $2$-generator Lie algebras with an abelian ideal S. Zh. Nabiev	49–55
	A number-theoretic formula for approximate integration E. N. Egorenkova	55–58

Mechanics
	Construction of thermodynamic functionals M. R. Korotkina	59–65
	Application of the methods of Poincaré topographical systems and comparison systems in some concrete systems of differential equations M. V. Shamolin	66–70
	Influence of atmospheric density gradient on aerodynamic stabilization V. V. Beletskii, V. L. Kushpatova	70–73
	Methods for identifying the small parameter in a control system from the point of view of controllability measures A. A. Golovan, N. A. Parusnikov	73–77
	Stress concentration tensor for the case of $N$-dimensional elastic space with a spherical inclusion V. I. Gorbachev, A. L. Mikhailov	78–83
	On a plane model of perforated plates G. L. Brovko, A. A. Il'yushin	83–91
	On invariant measures of Euler–Poincaré equations on unimodular groups V. V. Kozlov, V. A. Yaroshchuk	91–95
	To the hydrodynamic theory of application of thin coatings onto traveling surfaces A. E. Kulago, V. P. Shkadova, V. Ya. Shkadov	95–100

Short notes
	Fourier coefficients of continuous functions for systems of Haar type V. A. Goncharov	101–104
	A dimension-valid cell-like resolution for ANR compacta V. L. Sukhikh	104–106
	Numerical investigation of the invariant-group solution of the equation of motion of “power” liquid V. R. Dushin	106–109

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