Geodesic

Number theory and analysis

Sommaire

I.\,M.~Vinogradov and his method of trigonometric sums
p. 3-20
Significant dates in the life and activity of academician I.\,M.~Vinogradov
p. 21-23
A~chronological bibliography of the works of I.\,M.~Vinogradov
p. 24-34
Effective estimates for the measure of sets defined by Diophantine conditions
p. 35-41
Estimates of some character sums
p. 42-53
On an explicit formula for von Mangoldt's $\Lambda$-function
p. 54-65
On approximation, by algebraic numbers, of the solutions of some equations containing $E$-functions
p. 66-69
On a~density theorem
p. 70-81
On estimates of trigonometric integrals
p. 82-92
Spherical theta-series and Hecke operators
p. 93-122
Relations in the two-dimensional Cremona group over a~nonclosed field
p. 123-152
Estimates of complete trigonometric sums
p. 153-171
On the sum of $k$-th powers of natural numbers
p. 172-179
A~new approach to the problem of the zeros of some Dirichlet series
p. 180-196
Titchmarsh's problem in the discrete theory of the Riemann zeta-function
p. 197-230
The equation of the zeta function and a~segment of the Euler product
p. 231-234
Limit theorems for Dirichlet $L$-functions
p. 235-249
On the multiplicities of the zeros of the Riemann zeta-function
p. 250-255
On the number of permutations with a~finite set of cycle lengths
p. 256-267
On the representation of integers as the sum of three cubes and a~binary quadratic form
p. 268-274
On Fourier coefficients of Maass cusp forms in 3-dimensional hyperbolic space
p. 275-282
Little flowers to I.\,M.~Vinogradov
p. 283-285
On the distribution of values of Dirichlet characters and their applications
p. 286-296
On lower bounds for character sums over finite fields
p. 297-298
Lattice points in domains in the Lochachevsky plane
p. 299-325
On error estimates for cubature formulas
p. 326-338
Arithmetic functions on the set of shifted primes
p. 339-346
Arithmetic properties of values of hypergeometric series
p. 347-352
On Vinogradov's problems in the theory of prime numbers
p. 353-368
On algebraic independence of the values of $E$-functions connected by algebraic equations over the field of rational functions
p. 369-376
On the representation of numbers with given properties of binary expansion by sums of two squares
p. 377-382