Proceedings of the Steklov Institute of Mathematics 1996; 351 pp; softcover Volume: 207 ISBN10: 0821804677 ISBN13: 9780821804674 List Price: US$327 Member Price: US$261.60 Order Code: STEKLO/207
 This collection consists of papers by participants in the international conference celebrating the 100th anniversary of the birth of I. M. Vinogradov, held in Moscow in September 1991. The papers are devoted to current trends in analytic number theory, function theory, algebraic number theory, algebraic geometry, and combinatorics. The collection begins with a paper by A. A. Karatsuba that describes the life and scientific activity of Vinogradov. Readership Graduate students and research mathematicians. Table of Contents  A. A. Karatsuba  I. M. Vinogradov and his method of trigonometric sums; Main dates in the life and activity of I. M. Vinogradov; Chronological index of the works of I. M. Vinogradov
 V. I. Bernik and I. R. Dombrovskiĭ  Effective estimates of the measure of sets defined by Diophantine conditions
 S. V. Bochkarev  Estimates of some character sums
 S. M. Voronin  On an explicit formula for von Mangoldt's \(\Lambda\)function
 A. I. Galochkin  On approximation, by algebraic numbers, of the solutions of some equations containing \(E\)functions
 S. A. Gritsenko  On a density theorem
 I. Sh. Dzhabbarov  On estimates of trigonometric integrals
 V. G. Zhuravlev  Spherical thetaseries and Hecke operators
 V. A. Iskovskikh and S. L. Tregub  Relations in the twodimensional Cremona group over a nonclosed field
 D. Ismoilov  Estimates of complete trigonometric sums
 M. I. Israilov and I. A. Allakov  On the sum of \(k\) th powers of natural numbers
 A. A. Karatsuba  A new approach to the problem of the zeros of some Dirichlet series
 A. A. Lavrik  Titchmarsh's problem in the discrete theory of the Riemann zetafunction
 A. F. Lavrik  The equation of the zeta function and a segment of the Euler product
 A. Laurinchikas  Limit theorems for Dirichlet \(L\)functions
 Y. Mozer  On the multiplicities of the zeros of the Riemann zetafunction
 A. I. Pavlov  On the number of permutations with a finite set of cycle lengths
 A. A. Polyanskiĭ  On representation of numbers as the sum of three cubes and a binary quadratic form
 S. Raghavan and J. Sengupta  On Fourier coefficients of Maass cusp forms in 3dimensional hyperbolic space
 K. Ramachandra  Little flowers to I. M. Vinogradov
 Z. Kh. Rakhmonov  On the distribution of values of Dirichlet characters and their applications
 S. A. Stepanov  On lower bounds for character sums over finite fields
 M. Sugi  Lattice points in domains in the Lobachevsky plane
 V. N. Temlyakov  On error estimates for cubature formulas
 N. M. Timofeev  Arithmetic functions on the set of shifted primes
 V. G. Chirskiĭ  Arithmetic properties of values of hypergeometric series
 V. N. Chubarikov  On Vinogradov's problems in the theory of prime numbers
 A. B. Shidlovskiĭ  On algebraic independence of the values of \(E\)functions connected by algebraic equations over the field of rational functions
 K. M. Èminyan  On the representation of numbers with given properties of the binary expansion by sums of two squares
