Geodesic

Sommaire du Fascicule no. 1

Arithmetic diophantine approximation for continued fractions-like maps on the interval
p. 1-23
Polynomial relations amongst algebraic units of low measure
p. 25-30
A note on the article by F. Luca “On the system of Diophantine equations $a^2+b^2=(m^2+1)^r$ and $a^{x}+b^y=(m^2+1)^z$” (Acta Arith. 153 (2012), 373–392)
p. 31-42
Kloosterman sums in residue rings
p. 43-64
Perfect powers expressible as sums of two fifth or seventh powers
p. 65-100

Sommaire du Fascicule no. 2

Complete arcs arising from a generalization of the Hermitian curve
p. 101-118
On the behaviour close to the unit circle of the power series with Möbius function coefficients
p. 119-136
Local-global principle for certain biquadratic normic bundles
p. 137-144
${\bf Bad}(s,t)$ is hyperplane absolute winning
p. 145-152
On the sum of dilations of a set
p. 153-162
Galois towers over non-prime finite fields
p. 163-179
The mean square of the divisor function
p. 181-208

Sommaire du Fascicule no. 3

On the cyclotomic elements in $K_{2}$ of a rational function field
p. 209-219
Sumsets in quadratic residues
p. 221-243
The Cohen–Lenstra heuristics, moments and $p^j$-ranks of some groups
p. 245-263
Euclidean quadratic forms and ADC forms II: integral forms
p. 265-308

Sommaire du Fascicule no. 4

Generalised Weber functions
p. 309-341
An effective bound of $p$ for algebraic points on Shimura curves of $\varGamma _{0}(p)$-type
p. 343-353
Quantitative analysis of the Satake parameters of $\mathrm {GL}_2$ representations with prescribed local representations
p. 355-379
Class numbers of totally real fields and applications to the Weber class number problem
p. 381-397
Computations of Galois representations associated to modular forms of level one
p. 399-411