Geodesic

Sommaire du Fascicule no. 1

Normal integral bases and tameness conditions for Kummer extensions
p. 1-23
Inhomogeneous Diophantine approximation with general error functions
p. 25-35
Primes in tuples IV: Density of small gaps between consecutive primes
p. 37-53
Tate sequences and lower bounds for ranks of class groups
p. 55-66
On the values of Artin $L$-series at $s=1$ and annihilation of class groups
p. 67-93
A remark on Tate's algorithm and Kodaira types
p. 95-100

Sommaire du Fascicule no. 2

Multiplicative zero-one laws and metric number theory
p. 101-114
An upper bound for the minimum genus of a curve without points of small degree
p. 115-128
Harmonic weak Maass-modular grids in higher level cases
p. 129-141
Chebyshev bounds for Beurling numbers
p. 143-157
Mordell–Weil ranks of families of elliptic curves associated to Pythagorean triples
p. 159-183
A zero density result for the Riemann zeta function
p. 185-200

Sommaire du Fascicule no. 3

On the number of points on abelian and Jacobian varieties over finite fields
p. 201-241
Inhomogeneous Diophantine approximation on integer polynomials with non-monotonic error function
p. 243-257
Optimality of Chebyshev bounds for Beurling generalized numbers
p. 259-275
Capturing forms in dense subsets of finite fields
p. 277-284
Propagation de la 2-birationalité
p. 285-301

Sommaire du Fascicule no. 4

Polynomial analogues of Ramanujan congruences for Han's hooklength formula
p. 303-315
On the magnitudes of some small cyclotomic integers
p. 317-332
Generators and integer points on the elliptic curve $y^{2}=x^{3}-nx$
p. 333-348
The image of the natural homomorphism of Witt rings of orders in a global field
p. 349-384
Bornes optimales pour la différence entre la hauteur de Weil et la hauteur de Néron–Tate sur les courbes elliptiques sur $\overline{\mathbb{Q}}$
p. 385-397