Geodesic

Sommaire du Fascicule no. 1

Contents
List of participants
p. 5-7
A self-similar tiling generated by the minimal Pisot number
p. 9-26
Some remarks on the discrepancy of the sequence $\bigl(\alpha\sqrt{n}\bigr)$
p. 27-30
The distribution of rational points close to a smooth manifold and Hausdorff dimension
p. 31-35
On completely dense sequences
p. 37-40
On the parity of the class number of the field $\Bbb Q(\sqrt p,\sqrt q,\sqrt r)$
p. 41-52
Lower bounds for the greatest prime factor of $ax^m+by^n$
p. 53-57
Complete solution of a family of simultaneous Pellian equations
p. 59-67
On vanishing theorems for trace forms
p. 69-85
Extremal problems about additive bases
p. 87-92
Complete solution of parametrized Thue equations
p. 93-114
Note on the congruences $2^{p-1}\equiv 1\pmod {p^2}$, $3^{p-1}\equiv 1\pmod {p^2}$, $5^{p-1}\equiv 1\pmod {p^2}$
p. 115-120
Existence of and computation of integral bases
p. 121-128
Правильные множества по заданному модулю
p. 129-134
Definability of arithmetical operations from binary quadratic forms
p. 135-144
On some modifications of two theorems of Erdős
p. 145-148
A generalization of a unit index of Greither
p. 149-154
On the diophantine equation $xy+yz+zx=d$
p. 155-158
On the parity of the class numbers of real abelian fields
p. 159-166
Fermat and Wilson quotients for $p$-adic integers
p. 167-181
Higher degree Harrison equivalence and Milnor $K$-functor
p. 183-190
A characterization of tame Hilbert-symbol equivalence
p. 191-201
A generalization of Pillai's arithmetical function involving regular convolutions
p. 203-217