Geodesic

Studies in number theory. Part 9

Sommaire

An isolation theorem for the arithmetical minimum of the product of linear forms with complex coefficients
p. 5-6
An application of a~computer to the estimates of the Chebotarev type in the non-homogeneous Minkowski conjecture
p. 7-25
Singular series of genus~2 for sums of squares
p. 26-39
The proof of the Minkowski's conjecture concerning the critical determinant of the region $|x|^p+|y|^p1$
p. 40-53
On the Abel relations
p. 54-56
On explicit estimates for torsion orders of the points of curves of genus~1
p. 57-65
On the representation of numbers by integral isotropic quadratic forms
p. 66-67
On the representation of numbers by quadratic forms in algebraic number fields
p. 68-77
On quaternion orders with good divisibility
p. 78-94
One-dimensional and two-dimensional sides of a~polyhedron~$\mu(5)$
p. 95-103
On the Reinhardt problem of the lattice packings of convex plots. The local extremality of the Reinhardt octagon
p. 104-114
factorisation of large integers
p. 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. 125-134
The representations of numbers by spinor genera of translated lattices
p. 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
p. 141-158
Ergodic properties of operators on the integral points of ellipsoids
p. 159-175
On the number of points of a~translated lattice in an area on a~multidimentional ellipsoid
p. 176-183
The additive problem of divisors and its generalisation
p. 184-194