Trudy Mat. Inst. Steklov., 1976, Volume 142

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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

1976, Volume 142

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Contents

Number theory, mathematical analysis and their applications

A collection of articles dedicated to Ivan Matveev Vinogradov on the occasion of his eightieth birthday

	Periodic products of groups S. I. Adian		3
	Symmetric squares of zeta-functions of Siegel modular forms of genus 2 A. N. Andrianov		22
	Estimates for Weyl's double trigonometric sums G. I. Arkhipov		46
	On the theory of systems of partial differential equations A. V. Bitsadze		67
	On the theory of sufficient conditions for optimality V. I. Blagodatskikh		78
	The compression method in nonlinear additive problems B. M. Bredikhin		88
	On the search of solutions of a nonlinear integral equation E. A. Volkov		101
	Simultaneous representation of a pair of numbers by sums of integers and their squares A. B. Voronetskii, A. V. Malyshev		122
	The zeros of zeta-functions of quadratic forms S. M. Voronin		135
	Existence of a reduced system of eigen- and associated functions for a nonselfadjoint ordinary differential operator V. A. Il'in		148
	Distribution of values of nonprincipal characters A. A. Karatsuba		156
	The principal term of the divisor problem and the power series of the Riemann zeta-function in a neighborhood of a pole A. F. Lavrik		165
	A singular series K. K. Mardzhanishvili		174
	An equation in permutations M. P. Mineev, A. I. Pavlov		182
	On the question of representing natural numbers by a sum of terms of the form $x(x+1)\ldots (x+n-1)/n!$ V. I. Nechaev		195
	Reduced $K$-theory and approximation in algebraic groups V. P. Platonov		198
	On the theory of Jacobsthal sums A. G. Postnikov, S. A. Stepanov		208
	On the problem of determining perfect quadratic forms of several variables S. S. Ryshkov		215
	A new variant of the proof of the inhomogeneous Minkowski conjecture for $n=5$ B. F. Skubenko		240
	The Hamiltonian system connected with the equation $u_{\xi_\eta}+\sin u=0$ L. A. Takhtadzhyan, L. D. Faddeev		254