Sommaire

Automates et algébricités
Binary quadratic forms and Eichler orders
Designs, groups and lattices
On some equations over finite fields
A contribution to infinite disjoint covering systems
On equations defining fake elliptic curves
Catalan without logarithmic forms (after Bugeaud, Hanrot and Mihăilescu)
New ramification breaks and additive Galois structure
Critical and ramification points of the modular parametrization of an elliptic curve
The joint distribution of Q-additive functions on polynomials over finite fields
Character sums and products of factorials modulo p
On two-parametric family of quartic Thue equations
Rigid cohomology and p-adic point counting
Restricted set addition in Abelian groups: results and conjectures
On the existence of Minkowski units in totally real cyclic fields
On a mixed Littlewood conjecture for quadratic numbers
Systems of quadratic diophantine inequalities
On a generalization of the Selection Theorem of Mahler
Galois covers of ℙ 1 over ℚ with prescribed local or global behavior by specialization
Abstract β-expansions and ultimately periodic representations
Counting invertible matrices and uniform distribution
Differences in sets of lengths of Krull monoids with finite class group
Complexity of Hartman sequences
Multiplicative Dedekind η-function and representations of finite groups
Linear independence of values of a certain generalisation of the exponential function – a new proof of a theorem of Carlson
Interpolation of entire functions on regular sparse sets and q-Taylor series
Stable reduction of three point covers
Diophantine equations with linear recurrences An overview of some recent progress