This book, dedicated to the 100th anniversary of the birth of I. M. Vinogradov, contains papers ranging over various areas of mathematics, including number theory, algebra, theory of functions of a real variable and of a complex variable, ordinary differential equations, optimal control, partial differential equations, mathematical physics, mechanics, and probability.

Table of Contents:
In memoriam: Ivan Matveevich Vinogradov by V. S. Vladimirov The maximum principle for differential inclusions with phase constraints by A. V. Arutyunov and V. I. Blagodatskikh Smooth approximations of differential inclusions, and the optimal time problem by S. M. Aseev Approximate symmetries and conservation laws by V. A. Baikov, R. K. Gazizov, and N. Kh. Ibragimov Singular integral equations of the first kind by A. V. Bitsadze The mean value of Hecke series of cusp forms twisted with quadratic characters on the critical line by V. A. Bykovskii and A. I. Vinogradov A limit theorem for a critical Bellman-Harris branching process with final types by V. A. Vatutin On reduction of a first-order elliptic system on the plane to a complex special form by V. S. Vinogradov Application of $p$-adic numbers in mathematical physics by V. S. Vladimirov and I. V. Volovich Approximate conformal mapping of domains with periodic structure by the block method by E. A. Volkov On the method of I. M. Vinogradov by S. M. Voronin On the number of divisors of a quadratic form by N. Gafurov On the convergence of Pade approximations of orthogonal expansions by A. A. Gonchar, E. A. Rakhmanov, and S. P. Suetin Convex sets and multiple Fourier series by M. I. Dyachenko Generators in the two-dimensional Cremona group over a nonclosed field by V. A. Iskovskikh Estimates of complete character sums of polynomials by D. Ismoilov On a density theorem by A. A. Karatsuba On the mechanism of collapse of the invariant torus of the van der Pol relaxation system with harmonic action on the slow variable by A. Yu. Kolesov and E. F. Mishchenko Quantum scattering for effective nonabelian interactions by Yu. A. Kuperin, Yu. B. Melnikov, and S. P. Merkurev Arithmetic equivalents of functional equations of Riemann type by A. F. Lavrik Approximation on a Riemannian manifold by P. I. Lizorkin On some arithmetic applications of the theory of modular forms by G. A. Lomadze A generalization of the Paley-Wiener theorem to functionals on Smimov spaces by V. I. Lutsenko and R. S. Yulmukhametov Differential operators in nonconvex domains by V. V. Napalkov and I. A. Rudakov On weak convergence of multivalued mappings by M. S. Nikolskii Vinogradov series in the Cauchy problem for equations of Schrodinger type by K. I. Oskolkov General boundary value problems for stochastic partial differential equations by Yu. A. Rozanov On uniform convergence of nonharmonic Fourier series by A. M. Sedletskii Regularity of a boundary point for a quasilinear elliptic equation of higher order by I. V. Skrypnik Convergence of trigonometric series in the metric of $L$ with coefficients that seldom change by S. A. Telyakovskii Error estimates for Fibonacci quadrature formulas for classes of functions with bounded mixed derivative by V. N. Temlyakov On the extension of pluripolar singular sets by E. M. Chirka.