Geodesic

Studies in number theory. Part 4

Sommaire

Markov and Lagrange spectra (survey of the literature)
p. 5-38
Geometry of Lobachevskii in connection with certain questions of arithmetic
p. 39-85
Representation of square matrices by the product of diagonal, orthogonal, triangular, and integral unimodular matrices (in connection with the inhomogeneous Minkowski conjecture)
p. 86-94
Proof of Minkowski's conjecture concerning the critical determinant of the region $|x|^p+|y|^p1$ for $5$
p. 95-107
Minkowski reduction region for positive quadratic forms in seven variables
p. 108-143
The question of single-class genera of positive binary quadratic forms
p. 144-155
Zeta function of a system of forms
p. 156-162
An indeterminate equation
p. 163-166
A class of primality criteria formulated in terms of the divisibility of binomial coefficients
p. 167-183
A generalization of the algorithm for continued fractions related to the algorithm of Viggo Brunn
p. 184-194
Representation of the direct sum of two quadratic fields by rational symmetric matrices
p. 195-200
Application of fields formed by the Gauss periods to the investigation of cyclic diophantine equations
p. 201-222
A remark on Fermat's last theorem
p. 223-224