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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

1983, Volume 125

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Analytical theory of numbers and theory of functions. Part 5


Methods and results of the theory of univalent functions
N. A. Lebedev
5
A complement to the paper of G. V. Kuz'mina “On the problem of maximum of the product of conformal radii of nonoverlapping domains” (Zap. Nauch. Semin. LOMI, 1980, vol. 100)
N. A. Lebedev
22
On the orthogonal systems of functions associated with the solutions of the Loewner differential equation
I. E. Bazilevich
24
On representation of large integers by special positive definite ternary quadratic forms
E. P. Golubeva
36
Structure and coefficients for certain classes of regular functions
E. G. Goluzina
47
On the power stability for the Bieberbach inequality
A. Z. Grinshpan
58
Recurrence relations in the theory of Hecke's operators
V. A. Gritsenko
65
A priori estimates of solution of the Dirichlet problem for the Monge-Ampere equation in the weight spaces
N. M. Ivochkina
74
Coefficient estimates in the class of functions in class $S$ with the fixed third coefficient
V. I. Kamotskii
91
On the problem of the maximum of the product of conformal radii of nonoverlapping domains in the circle
G. V. Kuz'mina
99
On the maximum of some conformal invariant associated with capacity
G. V. Kuz'mina
114
On structural formulas for univalent functions
I. A. Lebedev
128
On one conjecture for the logariphmic coefficients of univalent functions
I. M. Milin
135
Expansion of automorphic functions on $SL_3(\mathbb C)/SU(3)$
N. V. Proskurin
144
Lebesgue constants of multiple polyhedron sums of de la Vallee–Poussin
M. A. Skopina
154
On the estimates of the unitial coefficients in the classes of univalent functions
S. I. Fedorov
166
Square sums in the imaginary quadratic fields
O. M. Fomenko
184


© Steklov Math. Inst. of RAS, 2024