Geodesic

Volume 11 (2005) no. 6

Sommaire

Andrei Borisovich Shidlovskii (on the occasion of his ninetieth birthday)
p. 3-7
The lower bound for the number of local minima of integral lattices
p. 9-14
Estimate for dispersion of lengths of continued fractions
p. 15-26
Certain arithmetic properties of coefficients of Kummer's function
p. 27-32
On the weakened Siegel's conjecture
p. 33-39
Properties of coefficients of certain linear forms in generalized polylogarithms
p. 41-58
An elementary proof of the irrationality of Tschakaloff series
p. 59-64
On values of hypergeometric functions with different irrational parameters
p. 65-72
Algebraic points on the plain
p. 73-80
Bounds for exponential sums modulo~$p^2$
p. 81-94
On arithmetic properties of values of theta-constants
p. 95-122
Asymptotic distribution of classes of positive binary quadratic forms with conditions of the divisibility of coefficients
p. 123-130
Colorings of spaces, and random graphs
p. 131-141
On multiple integrals represented as a~linear form in $1,\zeta(3),\zeta(5),\dots,\zeta(2k-1)$
p. 143-178
Estimates for polynomials in logarithms of some rational numbers
p. 179-194
On Gauss--Kuz'min statistics for finite continued fractions
p. 195-208
On a~measure of algebraic independence of values of Jacobi elliptic functions
p. 209-219
Siegel--Shidlovsky method in $p$-adic domain
p. 221-230