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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

1979, Volume 91

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Analytical theory of numbers and theory of functions. Part 2


On the remainder term in the Weyl–Selberg asymptotic formula
A. B. Venkov
5
On the number of lattice points inside the sphere with transposing center
A. I. Vinogradov, M. M. Skriganov
25
On the distribution of the sequence $\{bp^{3/2}\}\mod1$
E. P. Golubeva, O. M. Fomenko
31
Estimate of the Hecke $L$-functions on the critical line
R. M. Kaufman
40
On the Lehmer hypothesis. I
N. V. Kuznetsov
52
Asymptotic formula for the sum of sums of the elements of continued fractions for the numbers $a/p$
V. N. Popov
81
On the Y. V. Linnik hypothesis
N. V. Proskurin
94
Translation theorem in the nonhomogeneous Minkovski problem
B. F. Skubenko, K. Bakiev
119
Lower estimates in the large sieve
A. V. Sokolovskii
125
Asymptotic formula for the sum of the lengths of the periods of the quadratic irrationalities of discriminant $D$
L. A. Takhtadzhyan
134
Tauberian theorems and mean values of multiplicative functions
A. S. Fainleib
145
On the identity between the fourth power of Riemann theta-constant of genus 2 and Eisenstein series
O. M. Fomenko
158
On the Galois group of maximal $\ell$-extention with fixed ramification of the rational number field
V. M. Tsvetkov
169
On the neighborhood of the DOTU matrices
Kh. N. Narzullaev
171


© Steklov Math. Inst. of RAS, 2025