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2005, Volume 322  
| General information | Contents |


Proceedings on number theory


A brief account of the scientific and pedagogical work of Yu. V. Linnik
A. I. Vinogradov 		5–9
Polynomials with small discriminants and regular systems of real algebraic numbers
V. I. Bernik, O. S. Kukso 		10–16
A generalized square of the zeta function. The spectral decomposition
A. I. Vinogradov 		17–44
On the distribution of norms of prime ideals of the given class in arithmetic progressions
S. A. Gritsenko 		45–62
On an exponential sum
P. Ding 		63–75
Divisibility properties of certain recurrent sequences
A. Dubickas 		76–82
Rauzy tilings and bounded remainder sets on the torus
V. G. Zhuravlev 		83–106
Approximations to $q$-logarithms and $q$-dilogarithms, with applications to $q$-zeta values
W. Zudilin 		107–124
A limit theorem for the Hurwitz zeta-function with algebraic irrational parameter
A. P. Laurincikas 		125–134
Scalar product of Dirichlet series and the distribution of integer points on toric varieties
B. Z. Moroz 		135–148
On Waring's problem (elementary methods)
Yu. V. Nesterenko 		149–175
On the index of the boundary points of four-dimensional lattices that are admissible for cube
Yu. A. Smirnov 		176–185
On the statistical properties of finite continued fractions
A. V. Ustinov 		186–211
Divisor weighted sums
J. B. Friedlander, H. Iwaniec 		212–219
A generalization of the method of global relation
V. G. Chirskii 		220–238
Sums of the additive divisor problem type and the inner product method
M. Jutila 		239–250
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