Trudy Mat. Inst. Steklova, 1997, Volume 218

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

1997, Volume 218

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Contents

Analytic number theory and applications

Collection of papers. To Prof. Anatolii Alexeevich Karatsuba on occasion of his 60th birthday

	Anatolii Alekseevich Karatsuba (photo)
	On the mathematical papers of Professor A. A. Karatsuba G. I. Arkhipov, V. N. Chubarikov		7
	From the Karatsuba method for fast multiplication on numbers to fast algorithms for discrete functions V. B. Alekseev		20
	On the power of a singular set in binary additive problems with prime numbers G. I. Arkhipov, K. Buriev, V. N. Chubarikov		28
	Joint approximation of zero by values of integer-valued polynomials V. I. Bernik, V. N. Borbat		58
	On a method for estimating the $L_1$-norm of an exponential sum S. V. Bochkarev		74
	On interpolation formulas S. M. Voronin		77
	Diophantine equations of the third degree M. Z. Garaev		99
	A limit theorem with weight for the Lerch zeta function in the space of analytic functions R. Garunkstis, A. P. Laurincikas		109
	On the complexity of integration of rational fractions S. B. Gashkov		122
	On zeros of linear combinations of analogues of the Riemann function S. A. Gritsenko		134
	Orbits of representations of numbers by local quadratic forms V. G. Zhuravlev		151
	Difference equations and the irrationality measure of numbers W. V. Zudilin		165
	On the convergence exponent of trigonometric integrals I. A. Ikromov		179
	On the rationality problem for algebraic threefolds V. A. Iskovskikh		190
	On the complexity of schemes of unit resistances, and some properties of Fibonacci numbers O. M. Kasim-zade		233
	Representation of numbers by quadratic forms L. A. Kogan		248
	An optimization problem for the Brunn–Minkowski inequality F. M. Malyshev		262
	On a lower bound for the number of variables for the solvability of the Hilbert–Kamke system in 3-adic integers D. A. Mit'kin		266
	The function $\widetilde\zeta_{-1}(s)$ and formulas of the second generation for $\pi(x)$ and $R(x)$ J. Moser		287
	On the measure of algebraic independence of the values of Ramanujan functions Yu. V. Nesterenko		299
	Distribution of signs in a sequence of rectangular matrices over a finite field V. I. Nechaev		335
	Meromorphic continuation of Dirichlet series connected with the distribution of numbers modulo 1 A. I. Pavlov		343
	Spherical convergence of the Fourier series and integral of the indicator of a two-dimensional domain D. A. Popov		354
	Estimates for the derivatives of polynomials on convex bodies V. I. Skalyga		374
	On the mean value of the ternary function of divisors on a sparse sequence Kh. M. Saliba		385
	On the construction of probability measures of functional classes N. T. Temirgaliev		397
	Distribution in the mean in progressions of numbers with a large number of prime factors N. M. Timofeev		403
	On the number of representations of an odd integer as a sum of three primes, one of which belongs to an arithmetic progression D. I. Tolev		415
	On the algebraic independence of values of functions satisfying systems of functional equations V. G. Chirskii		433
	On the algebraic independence of values of $E$-functions A. B. Shidlovskii		439
	On trigonometric series with positive partial sums V. A. Yudin		444