Sommaire du Fascicule no. 1

Non-planarity and metric Diophantine approximation for systems of linear forms
Period functions of half-integral weight modular forms
Galois sections for abelian varieties over number fields
A cyclotomic generalization of the sequence gcd(a n -1,b n -1)
Criteria for Irreducibility of mod p Representations of Frey Curves
Exterior Powers of Lubin-Tate Groups
Certain codes related to generalized paperfolding sequences
Degree of Unirationality for del Pezzo Surfaces over Finite Fields
Geometry of the eigencurve at critical Eisenstein series of weight 2
On the Hausdorff dimension of countable intersections of certain sets of normal numbers
Realising the cup product of local Tate duality
Automatic congruences for diagonals of rational functions
Bennett’s Pillai theorem with fractional bases and negative exponents allowed

Sommaire du Fascicule no. 2

Axel Thue in context
[Axel Thue en contexte]
Om en generel i store hele tal uløsbar ligning (Sur une équation générale insoluble en grands nombres entiers)
Integral points on a certain family of elliptic curves
Thue, Combinatorics on words, and conjectures inspired by the Thue-Morse sequence
Extremal families of cubic Thue equations
Effective results for division points on curves in 𝔾 m 2
Generalized jacobians and Pellian polynomials
Quadratic approximation to automatic continued fractions
Généralisations quantitatives du critère d’indépendance linéaire de Nesterenko
Logarithms of algebraic numbers
A family of Thue equations involving powers of units of the simplest cubic fields
Simultaneous Padé approximants to the Euler, exponential and logarithmic functions
Construction of points realizing the regular systems of Wolfgang Schmidt and Leonard Summerer

Sommaire du Fascicule no. 3

Superspecial rank of supersingular abelian varieties and Jacobians
Counting solutions without zeros or repetitions of a linear congruence and rarefaction in b-multiplicative sequences.
Constructions of some perfect integral lattices with minimum 4
Upper bounds for the Euclidean minima of abelian fields
Computing L-Functions: A Survey
On special values of standard L-functions of Siegel cusp eigenforms of genus 3
Confluent Parry numbers, their spectra, and integers in positive- and negative-base number systems
On Salem numbers, expansive polynomials and Stieltjes continued fractions
The prime divisors of the number of points on abelian varieties
On the index of degeneracy of a CM abelian variety