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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

1981, Volume 106

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Studies in number theory. Part 7


The upper estimation of the product of inhomogeneous linear forms for lattices with the small homogeneous minimum
K. B. Bakiev
5
Ergodic properties of integer points on the ellipsoids of genus $\mathscr J_{[\Omega,1]}$
N. N. Belova, A. V. Malyshev
17
On the distribution of integer points on hyperbolic surfaces of the second order
V. V. Golovizin
52
On one property of elliptic curves
V. A. Dem'yanenko
70
On one case of the embedding problem with the solvable kernel
V. V. Ishkhanov
76
A refinement of the estimations of the arithmetical minimum of the product of inhomogeneous linear forms for large dimensions
Kh. Kh. Mukhsinov
82
On the estimations in the inhomogeneous Minkowski's hypothesis for small dimensions
Kh. Kh. Mukhsinov
104
There exist square real matrices in each dimension $n\ge2880$ which are not $DOTU$ matrices
B. F. Skubenko
134
On the representation of large square divisible integers by positive ternare quadratic form
Yu. G. Teterin
137
The summation of multiplicative functions
B. M. Shirokow
158


© Steklov Math. Inst. of RAS, 2024