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

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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		5–6
	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		7–25
	Singular series of genus 2 for sums of squares A. B. Voronetskii		26–39
	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		40–53
	On the Abel relations V. A. Dem'yanenko		54–56
	On explicit estimates for torsion orders of the points of curves of genus 1 V. A. Dem'yanenko		57–65
	On the representation of numbers by integral isotropic quadratic forms A. N. Karpov		66–67
	On the representation of numbers by quadratic forms in algebraic number fields Y. A. Kashina		68–77
	On quaternion orders with good divisibility M. N. Kubenskii		78–94
	One-dimensional and two-dimensional sides of a polyhedron $\mu(5)$ Z. D. Lomakina, S. S. Ryshkov		95–103
	On the Reinhardt problem of the lattice packings of convex plots. The local extremality of the Reinhardt octagon F. L. Nazarov		104–114
	factorisation of large integers D. A. Pl'ako		115–124
	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		125–134
	The representations of numbers by spinor genera of translated lattices Yu. G. Teterin		135–140
	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		141–158
	Ergodic properties of operators on the integral points of ellipsoids Yu. G. Teterin		159–175
	On the number of points of a translated lattice in an area on a multidimentional ellipsoid Yu. G. Teterin		176–183
	The additive problem of divisors and its generalisation N. M. Timofeev		184–194

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