Geometry of Lobachevskii in connection with certain questions of arithmetic D. S. Gorshkov OriginalPaper Pages: 788 - 820
Representation of square matrices by the product of diagonal, orthogonal, triangular, and integral unimodular matrices (in connection with the inhomogeneous Minkowski conjecture) N. S. Akhmedov OriginalPaper Pages: 820 - 826
Proof of Minkowski's conjecture concerning the critical determinant of the region |x|P + |y|P > 1 for 5 ⩽p ⩽ 6 K. I. GrishmanovskayaA. V. MalyshevA. Ch. Fidarova OriginalPaper Pages: 827 - 836
Minkowski reduction region for positive quadratic forms in seven variables P. P. Tammela OriginalPaper Pages: 836 - 857
The question of single-class genera of positive binary quadratic forms A. B. Voronetskii OriginalPaper Pages: 858 - 866
A class of primality criteria formulated in terms of the divisibility of binomial coefficients Yu. V. Matiyasevich OriginalPaper Pages: 874 - 885
A generalization of the algorithm for continued fractions related to the algorithm of Viggo Brunn E. V. Podsypanin OriginalPaper Pages: 885 - 893
Representation of the direct sum of two quadratic fields by rational symmetric matrices L. I. Roginskii OriginalPaper Pages: 893 - 897
Application of fields formed by the Gauss periods to the investigation of cyclic diophantine equations A. V. Tolstikov OriginalPaper Pages: 897 - 912
