Geodesic

Analytic number theory and applications

Sommaire

On the mathematical papers of Professor A.\,A.~Karatsuba
p. 7-19
From the Karatsuba method for fast multiplication on numbers to fast algorithms for discrete functions
p. 20-27
On the power of a~singular set in binary additive problems with prime numbers
p. 28-57
Joint approximation of zero by values of integer-valued polynomials
p. 58-73
On a~method for estimating the $L_1$-norm of an exponential sum
p. 74-76
On interpolation formulas
p. 77-98
Diophantine equations of the third degree
p. 99-108
A~limit theorem with weight for the Lerch zeta function in the space of analytic functions
p. 109-121
On the complexity of integration of rational fractions
p. 122-133
On zeros of linear combinations of analogues of the Riemann function
p. 134-150
Orbits of representations of numbers by local quadratic forms
p. 151-164
Difference equations and the irrationality measure of numbers
p. 165-178
On the convergence exponent of trigonometric integrals
p. 179-189
On the rationality problem for algebraic threefolds
p. 190-232
On the complexity of schemes of unit resistances, and some properties of Fibonacci numbers
p. 233-247
Representation of numbers by quadratic forms
p. 248-261
An optimization problem for the Brunn--Minkowski inequality
p. 262-265
On a~lower bound for the number of variables for the solvability of the Hilbert--Kamke system in 3-adic integers
p. 266-286
The function $\widetilde\zeta_{-1}(s)$ and formulas of the second generation for $\pi(x)$ and $R(x)$
p. 287-298
On the measure of algebraic independence of the values of Ramanujan functions
p. 299-334
Distribution of signs in a~sequence of rectangular matrices over a~finite field
p. 335-342
Meromorphic continuation of Dirichlet series connected with the distribution of numbers modulo~1
p. 343-353
Spherical convergence of the Fourier series and integral of the indicator of a~two-dimensional domain
p. 354-373
Estimates for the derivatives of polynomials on convex bodies
p. 374-384
On the mean value of the ternary function of divisors on a~sparse sequence
p. 385-396
On the construction of probability measures of functional classes
p. 397-402
Distribution in the mean in progressions of numbers with a~large number of prime factors
p. 403-414
On the number of representations of an odd integer as a~sum of three primes, one of which belongs to
p. 415-432
On the algebraic independence of values of functions satisfying systems of functional equations
p. 433-438
On the algebraic independence of values of $E$-functions
p. 439-443
On trigonometric series with positive partial sums
p. 444-447