Zap. Nauchn. Sem. LOMI, 1986, Volume 151

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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

1986, Volume 151

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General information

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Contents

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Studies in number theory. Part 9

	An isolation theorem for the arithmetical minimum of the product of linear forms with complex coefficients U. A. Akramov		5
	An application of a computer to the estimates of the Chebotarev type in the non-homogeneous Minkowski conjecture A. K. Andriyas'an, I. V. Il'in, A. V. Malyshev		7
	Singular series of genus 2 for sums of squares A. B. Voronetskii		26
	The proof of the Minkowski's conjecture concerning the critical determinant of the region $\|x\|^p+\|y\|^p<1$ N. M. Glazunov, A. S. Golovanov, A. V. Malyshev		40
	On the Abel relations V. A. Dem'yanenko		54
	On explicit estimates for torsion orders of the points of curves of genus 1 V. A. Dem'yanenko		57
	On the representation of numbers by integral isotropic quadratic forms A. N. Karpov		66
	On the representation of numbers by quadratic forms in algebraic number fields Y. A. Kashina		68
	On quaternion orders with good divisibility M. N. Kubenskii		78
	One-dimensional and two-dimensional sides of a polyhedron $\mu(5)$ Z. D. Lomakina, S. S. Ryshkov		95
	On the Reinhardt problem of the lattice packings of convex plots. The local extremality of the Reinhardt octagon F. L. Nazarov		104
	factorisation of large integers D. A. Pl'ako		115
	On the theory of the reduction of positive quadratic forms. Abnormality of the partition of the positivity cone into the Minkowski $(n\geqslant7)$ and Barns–Cohn reduction regions $(n=4)$. P. P. Tammela		125
	The representations of numbers by spinor genera of translated lattices Yu. G. Teterin		135
	The action of the class-group on the representations of numbers by a ternary quadratib form. The Siegel and Kneser–Hsia–Peters formulae Yu. G. Teterin		141
	Ergodic properties of operators on the integral points of ellipsoids Yu. G. Teterin		159
	On the number of points of a translated lattice in an area on a multidimentional ellipsoid Yu. G. Teterin		176
	The additive problem of divisors and its generalisation N. M. Timofeev		184

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