RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

2012, Volume 404

| General information | Contents |


Analytical theory of numbers and theory of functions. Part 27


On interaction of symplectic and orthogonal Hecke–Shimura rings of one-class quadratic forms
A. N. Andrianov
5
Sharp estimates of best approximations in terms of holomorphic functions of Weierstrass-type operators
O. L. Vinogradov
18
Random variables associated with the Farey tree
E. P. Golubeva
61
On an estimate in the class of typically real functions
E. G. Goluzina
75
Some inequalities for polynomials and rational functions associated with a lemniscate
V. N. Dubinin
83
Generalized capacities, compound curves and removable sets
Yu. V. Dymchenko, V. A. Shlyk
100
The Vuorinen problem on the maximum of the conformal module
E. G. Emel'yanov, G. V. Kuz'mina
120
Inequalities of type generalized Jackson theorem for best approximations
V. V. Zhuk
135
Estimates of best approximations of periodic function by linear combinations values of the function itself and its primitives
V. V. Zhuk
157
Comparison of discrete and uniform norms of polynomials on a segment and a circle arc
S. I. Kalmykov
175
Positivity of Toeplitz determinants formed by rising factorial series and properties of related polynomials
D. B. Karp
184
Quadratic differentials with strip domains in the structure of trajectories in some extremal decomposition problems
G. V. Kuz'mina
199
On the zeros of the zeta function of the Leech lattice
N. V. Proskurin
214
On the distribution of fractional parts of polynomials of two variables
O. M. Fomenko
222
Extreme values of automorphic $L$-functions
O. M. Fomenko
233
The spherical symmetrization and NED-sets on a hyperplane
V. A. Shlyk
248


© Steklov Math. Inst. of RAS, 2025