Trudy Mat. Inst. Steklov., 1971, Volume 112

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

1971, Volume 112

Contents

Collection of articles. Part I

	Ivan Matveevich Vinogradov (photo)
	From the anniversary commission

	Representations of $n$-point functions N. N. Bogolyubov, V. S. Vladimirov		5
	A certain application of algebraic number theory to mathematical statistics Yu. V. Linnik		22
	A linear differential evasion game L. S. Pontryagin		30
	The subgroups of free periodic groups of odd exponent S. I. Adian		64
	Dirichlet series with Euler product in the theory of Siegel modular forms of genus two A. N. Andrianov		73
	On the theory of first order quasilinear ordinary differential equations A. V. Bitsadze		95
	Artin's $L$-series and the adele group A. I. Vinogradov		105
	Artin's $L$-series and his conjectures A. I. Vinogradov		123
	Effective error estimates for difference solutions of boundary value problems in ordinary differential equations E. A. Volkov		141
	Necessary first order conditions, and the axiomatics of extremal problems R. V. Gamkrelidze		152
	The stabilization of the solution of the Cauchy problem for a parabolic equation with one space variable A. K. Gushchin, V. P. Mikhailov		181
	Extremal problems of the theory of positive quadratic forms B. N. Delone, S. S. Ryshkov		203
	Estimates of the difference between distributions in the Lévy metric V. M. Zolotarev		224
	The solution of operator equations that are not well-posed V. Ivanov		232
	Estimates of trigonometric sums by the method of I. M. Vinogradov, and their applications A. A. Karatsuba		241
	Traces of functions of several variables, and direction fields that are regular at infinity for the Laplace operator L. D. Kudryavtsev		256
	Periodic Dirichlet functions with Riemann type functional equations. I A. F. Lavrik		271
	Monotone convex matrix loss functions in statistics N. A. Lebedev, Yu. V. Linnik, A. L. Rukhin		291
	The summability of a Dirichlet series with complex exponents, and its application A. F. Leont'ev		300
	The preservation of class under a differentiable mapping S. M. Nikol'skii		327
	The sharpness of the Lebesgue estimate for the approximation of functions with prescribed modulus of continuity by Fourier sums K. I. Oskolkov		337
	The estimation of rational trigonometric sums with prime denominator S. A. Stepanov		346
	Representation of functions of the class $\varphi (L)$ by series P. L. Ul'yanov		372

	Errata