Issue no. 1 Table of Contents

On classifying Laguerre polynomials which have Galois group the alternating group
Random Galois extensions of Hilbertian fields
Algebraic independence of the generating functions of Stern’s sequence and of its twist
On a generalization of Craig lattices
Integer Linear Programming applied to determining monic hyperbolic irreducible polynomials with integer coefficients and span less than 4
Comparison theorem between Fourier transform and Fourier transform with compact support
Multidimensional Gauss reduction theory for conjugacy classes of SL(n,ℤ)
Construction de fractions continues périodiques uniformément bornées
[Construction of periodic continuous fractions uni- formly bounded]
Low dimensional strongly perfect lattices. II: Dual strongly perfect lattices of dimension 13 and 15.
Galois extensions of height-one commuting dynamical systems
The number of solutions to the generalized Pillai equation ±ra x ±sb y =c.
A descent map for curves with totally degenerate semi-stable reduction

Issue no. 2 Table of Contents

On the limit distribution of the well-distribution measure of random binary sequences
Quadratic modular symbols on Shimura curves
Lower bounds of discrete moments of the derivatives of the Riemann zeta-function on the critical line
2-Cohomology of semi-simple simply connected group-schemes over curves defined over p-adic fields
On the distribution of sparse sequences in prime fields and applications
Goldbach’s problem with primes in arithmetic progressions and in short intervals
Optimality of the Width-w Non-adjacent Form: General Characterisation and the Case of Imaginary Quadratic Bases
Equations for Mahler measure and isogenies
The distribution of second p-class groups on coclass graphs
On the error term of the logarithm of the lcm of a quadratic sequence
Ergodic Universality Theorems for the Riemann Zeta-Function and other L-Functions
Trivial points on towers of curves
Diophantine approximations with Fibonacci numbers

Issue no. 3 Table of Contents

The n-th prime asymptotically
Minimal 𝒮-universality criteria may vary in size
The factorization of f(x)x n +g(x) with f(x) monic and of degree ≤2.
Fields of moduli of three-point G-covers with cyclic p-Sylow, II
Bicyclotomic polynomials and impossible intersections
The correspondence between Barsotti-Tate groups and Kisin modules when p=2
Le système d’Euler de Kato
[Kato’s Euler system]
Perfect unary forms over real quadratic fields