Geodesic

Studies in number theory. Part 5

Sommaire

Orders of the torsion of points of curves of genus 1
p. 5-28
Critical determinant of the region $|x|^p+|y|^p1$ (Supplement to the paper “On the application of the electronic computer to the proof of a conjecture of Minkowski from the geometry of numbers,” Zap. Nauchn. Sem. Lomi, 71, 163–180, 1977)
p. 29-32
Representation of integers by positive ternary quadratic forms (a new modification of the discrete ergodic method)
p. 33-87
A refinement of an estimate of the arithmetic minimum of the product of nonhomogeneous linear forms (regarding Minkowski's nonhomogeneous conjecture)
p. 88-94
Length of the period of a quadratic irrational
p. 95-99
Number of integral points in an elliptic region (a remark on a theorem of A. V. Malyshev)
p. 100-102
Summation formulas for general Kloosterman sums
p. 103-135
Estimates of the eigenvalues of Hecke operators in the space of cusp forms of weight 0
p. 136-143
Dense lattice packings of spheres in Euclidean spaces of dimension $n\leqslant16$
p. 144-146
A remark on an upper bound on the Hermite constant for the densest lattice packings of spheres
p. 147-148
Application of fields generated by gauss periods to the study of cyclic Diophantine equations. II
p. 149-157
Distribution of numbers with a prescribed number of distinct prime divisors
p. 158-162