An isolation theorem for the arithmetic minimum of the product of linear forms with complex coefficients U. A. Akramov OriginalPaper Pages: 2623 - 2624
Using a computer to obtain Chebotarev bounds in the nonhomogeneous Minkowski's conjecture A. K. AndriyasyanI. V. Il'inA. V. Malyshev OriginalPaper Pages: 2624 - 2635
A proof of Minkowski's conjecture on the critical determinant of the region ¦x¦p+¦y¦p<1 N. M. GlazunovA. S. GolovanovA. V. Malyshev OriginalPaper Pages: 2645 - 2653
Exact bounds on the order of torsion points of curves of genus 1 V. A. Dem'yanenko OriginalPaper Pages: 2656 - 2662
Representation of numbers by integral isotropic quadratic forms A. N. Karpov OriginalPaper Pages: 2662 - 2663
Representation of numbers by quadratic forms in algebraic number fields E. A. Kashina OriginalPaper Pages: 2663 - 2669
One- and two-dimensional faces of the polyhedron μ(5) Z. D. LomakinaS. S. Ryshkov OriginalPaper Pages: 2681 - 2686
Reinhardt's problem of lattice packings of convex domains: Local extremality of the Reinhardt octagon F. L. Nazarov OriginalPaper Pages: 2687 - 2693
Theory of reduction of positive-definite quadratic forms: Nonnormality of the partitions of the positivity cone into Minkowski (n⩾7) and Barnes-Cohn (n=4) reduction regions P. P. Tammela OriginalPaper Pages: 2699 - 2705
Representation of numbers by spinor genera of translated lattices Yu. G. Teterin OriginalPaper Pages: 2705 - 2708
Action of the group of classes on representations of numbers by a ternary quadratic form: The formulas of Siegel and Kneser-Hsia-Peters Yu. G. Teterin OriginalPaper Pages: 2709 - 2721
Ergodic properties of operators on integral points of ellipsoids Yu. G. Teterin OriginalPaper Pages: 2721 - 2731
Number of points of a translated lattice in a domain on a multidimensional ellipsoid Yu. G. Teterin OriginalPaper Pages: 2732 - 2737