Geodesic

Volume 11 (2010) no. 1

Sommaire

Anatolii Alekseevich Karatsuba
p. 5-6
An estimate for the irrationality measure of values of the Gauss hypergeometric function
p. 7-14
Algebraic independence over Qp of the values of analytic functions at points from Cp
p. 15-19
Graded quotient rings of semiprime graded rings
p. 20-30
A discrete limit theorem for the Mellin transforms of the Riemann zeta-function
p. 31-46
An estimate for irrationality measures of the logarithm of the ``golden section''
p. 47-53
The argument of the Riemann zeta function
p. 54-67
Structure of the best diophantine approximations and multidimensional generalizations of the continued fraction
p. 68-73
Diophantine approximation on the curves with non--monotonic error function in the p-adic case
p. 74-80
Application of a weighted sieve to the estimation of the least almost prime number of a polynomial sequence of a natural argument
p. 81-84
On estimates for trigonometric integrals
p. 85-108
On polyhedra with centrally symmetric faces
p. 109-115
On the number of representations of natural numbers by cyclic binary quadratic forms
p. 116-125
Geometrization of Hecke's theorem
p. 126-144
On the linear independence of some functions
p. 145-151
A structure formula for the sequence {nθ} and some of its applications in problems of number theory
p. 152-172
Local conditions for the biregularity of triangulations of the Euclidean plane
p. 173-183
Arithmetic properties of series of certain classes
p. 184-187
The extended Riemann hypothesis and zeros of functions defined by Dirichlet series with periodic coefficients
p. 188-198
Nilpotent approximability of the palindromic automorphism group of a free group
p. 199-201
On some properties of an elliptic curve in Jacobi form
p. 202-208
Modeling knapsack cryptosystems with Diophantine complexity
p. 209-216
A survey of investigations of the discrete ergodic method in number theory
p. 217-233
Arithmetic properties of quadratic function fields and torsion in Jacobians
p. 234-238
On the application of Wiener's parallel collision search method to discrete logarithmization on Edwards curves
p. 239-247
Oppenheim expansion in the ring Qg of g-adic numbers
p. 248-254
The arithmetic and geometry of one-dimensional quasilattices
p. 255-262
On the sum of the fractional parts ∑n≤x{ne}
p. 263-265