Geodesic

Sommaire du Fascicule no. 1

Self-dual normal bases for infinite odd abelian Galois ring extensions
p. 1-8
Bounds for the solutions of $S$-unit equations and decomposable form equations
p. 9-41
Moment convergence and the law of iterated logarithm for additive functions
p. 43-55
Intersective sets given by a polynomial
p. 57-95

Sommaire du Fascicule no. 2

On simultaneous inhomogeneous Diophantine approximation
p. 97-123
Mean values of Dirichlet polynomials and applications to linear equations with prime variables
p. 125-142
The universality of quadratic $L$-series for prime discriminants
p. 143-161
Near solutions of polynomial equations
p. 163-181
On the number of integers represented by systems of Abelian norm forms
p. 183-199

Sommaire du Fascicule no. 3

Mahler's measure of a polynomial in terms of the number of its monomials
p. 201-231
Discrete self-similar multifractals with examples from algebraic number theory
p. 233-252
On the structure of compact subsets of $\mathbb{C}_{p}$
p. 253-266
On the $k$-free divisor problem
p. 267-287
Cyclic sum of multiple zeta values
p. 289-295

Sommaire du Fascicule no. 4

On the period of the continued fraction for values of the square root of power sums
p. 297-312
Lower order terms of the second moment of $S(t)$
p. 313-333
An extension of the Apéry number supercongruence
p. 335-348
Some classes of irreducible polynomials
p. 349-360
A converse theorem for second-order modular forms of level $N$
p. 361-376
$\delta $-rings and factorial sequences preservation
p. 377-388
On the moments of the Carmichael $\lambda $ function
p. 389-398