1. An isolation theorem for the arithmetic minimum of the product of linear forms with complex coefficients

   • U. A. Akramov

   OriginalPaper Pages: 2623 - 2624

2. Using a computer to obtain Chebotarev bounds in the nonhomogeneous Minkowski's conjecture

   • A. K. Andriyasyan
   • I. V. Il'in
   • A. V. Malyshev

   OriginalPaper Pages: 2624 - 2635

3. Singular series of genus 2 for sums of squares

   • A. B. Voronetskii

   OriginalPaper Pages: 2635 - 2645

   

4. A proof of Minkowski's conjecture on the critical determinant of the region ¦x¦^p+¦y¦^p<1

   • N. M. Glazunov
   • A. S. Golovanov
   • A. V. Malyshev

   OriginalPaper Pages: 2645 - 2653

5. Abelian relations

   • V. A. Dem'yanenko

   OriginalPaper Pages: 2654 - 2655

   

6. Exact bounds on the order of torsion points of curves of genus 1

   • V. A. Dem'yanenko

   OriginalPaper Pages: 2656 - 2662

   

7. Representation of numbers by integral isotropic quadratic forms

   • A. N. Karpov

   OriginalPaper Pages: 2662 - 2663

8. Representation of numbers by quadratic forms in algebraic number fields

   • E. A. Kashina

   OriginalPaper Pages: 2663 - 2669

   

9. Quaternion orders with good divisibility

   • M. N. Kubenskii

   OriginalPaper Pages: 2670 - 2680

10. One- and two-dimensional faces of the polyhedron μ(5)

    • Z. D. Lomakina
    • S. S. Ryshkov

    OriginalPaper Pages: 2681 - 2686

11. Reinhardt's problem of lattice packings of convex domains: Local extremality of the Reinhardt octagon

    • F. L. Nazarov

    OriginalPaper Pages: 2687 - 2693

12. Factorization of large integers

    • D. A. Plyako

    OriginalPaper Pages: 2693 - 2698

13. 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

14. Representation of numbers by spinor genera of translated lattices

    • Yu. G. Teterin

    OriginalPaper Pages: 2705 - 2708

15. 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

16. Ergodic properties of operators on integral points of ellipsoids

    • Yu. G. Teterin

    OriginalPaper Pages: 2721 - 2731

17. Number of points of a translated lattice in a domain on a multidimensional ellipsoid

    • Yu. G. Teterin

    OriginalPaper Pages: 2732 - 2737

18. Additive divisor problem and its generalization

    • N. M. Timofeev

    OriginalPaper Pages: 2737 - 2743