Trudy Mat. Inst. Steklov., 1984, Volume 163

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1984, Volume 163

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Contents

International conference on analytical methods in number theory and analysis

Papers presented at the international conference held in Moscow, September 14–19, 1981

	The opening of the conference. The welcoming speech of Academician Logunov		3
	The welcoming speech of Academician Bogolyubov		4
	The welcoming speech of Academician Vinogradov		5
	Some results in the problem of Diophantine approximations of functions by polynomials È. Aparisio Bernardo		6
	Some asymptotic formulas connected with divisors of polynomials G. Babaev, N. Gafurov, D. Ismoilov		10
	Bravais types of five-dimensional lattices F. V. Botya		19
	The smoothing method in additive problems B. M. Bredikhin		23
	Subharmonicity in Banach algebras Vesentini Е.		28
	The automorphic scattering matrix for the Hecke group $\Gamma(2\cos\pi/q)$ A. B. Venkov		32
	Analysis of power series specifying automorphisms of a hypersurface in connection with the problem of extension of a mapping A. G. Vitushkin		37
	Theorems of Tauberian type for generalized functions V. S. Vladimirov, Yu. N. Drozhzhinov, B. I. Zavialov		42
	An economical composite difference method for the Dirichlet problem in a piecewise-homogeneous medium E. A. Volkov		49
	Distribution of zeros of certain Dirichlet series S. M. Voronin		74
	Menger algebras F. A. Gadzhiev		78
	Structure of the solutions of certain first-order systems A. D. Dzhuraev		81
	A zero-density theorem for the Riemann zeta-function A. Ivic		85
	Splines over Laguerre functions L. Iliev		90
	Some remarks on the group variety $N_2A$ F. B. Cannonito		95
	Vinogradov's method of trigonometric sums A. A. Karatsuba		97
	The problem of a strong blast in a dust-filled gas V. P. Korobeinikov, V. V. Markov, I. S. Menshov		104
	Bemerkungen zur numerischen likalen Langlands-Vermutung H. Koch		108
	Bemerkungen zur numerischen lokalen Langlands-Vermutung. II H. Koch, E.-W. Zink		115
	Methods of studying the law of distribution of primes A. F. Lavrik		118
	Some recent developments in the theory of Teichmüller spaces O. E. Lehto		143
	Multiple eigenfunction expansion of a differential operator with a continuous spectrum F. G. Maksudov		147
	Global exponential asymptotic behavior of solutions of the tunnel equations and the problem of large deviations V. P. Maslov		150
	An analytic representation for the sum of values inverse to nontrivial zeros of the Riemann zeta function Yu. V. Matiyasevich		181
	Some corollaries of the Riemann–Siegel formula J. Moser		183
	On Boolean algebras of projections and prespectral operators B. Nagy		187
	Lattice points in multidimensional ellipsoids B. Novak		191
	A one-sided $K$-functional and its interpolation spaces V. A. Popov		196
	Mean-value of the Riemaim's zeta-function and other remarks K. Ramachandra		200
	Adèle groups and class numbers V. P. Platonov		205
	The arithmetic of commutative rings K. A. Rodosskii		215
	On some formulae in volving $L(1,\chi)$ and a relating problems T. Tatuzawa		217
	Application of spectral methods to the arithmetic of real quadratic fields L. A. Takhtadzhyan		226
	Integrability of sine series S. A. Telyakovskii		229
	New applications of Vinogradov's “beaker” method T. Tonkov		234
	On the diophantine equation $x^x y^y=z^z$ S. Uchiyama		237
	Critical branching processes with arbitraty phase spaces K. Fleischmann, A. Liemant, K. Matthes		244
	The laws of thermodynamics and variational methods of construction of models of continua A. G. Tsypkin		248
	On large values of the Riemann's zeta-function on the critical line M. Jutila		268