Geodesic

Sommaire du Fascicule no. 1

Induced random $\beta $-transformation
p. 1-14
Sur les occurrences des mots dans les nombres premiers
p. 15-42
Non-real poles on the axis of absolute convergence of the zeta functions associated to Pascal’s triangle modulo a prime
p. 43-55
Small prime solutions to linear equations in three variables
p. 57-76
On the factorization of the discriminant of a classical modular equation
p. 77-85
Triads of integers with equal sums of squares and equal products and a related multigrade chain
p. 87-100

Sommaire du Fascicule no. 2

Restricted sumsets in finite nilpotent groups
p. 101-123
A non-uniform distribution property of most orbits, in case the $3x+1$ conjecture is true
p. 125-134
On the sign changes in a weighted divisor problem
p. 135-152
An explicit construction for unramified quadratic extensions of biquadratic fields
p. 153-161
Integers divisible by a large shifted prime
p. 163-180
Reduced normal form of local integral bases
p. 181-200

Sommaire du Fascicule no. 3

The infinitude of $\mathbb {Q}(\sqrt {-p})$ with class number divisible by 16
p. 201-233
Discrete spheres and arithmetic progressions in product sets
p. 235-248
A note on hyperquadratic continued fractions in characteristic 2 with partial quotients of degree 1
p. 249-256
A Mahler-type estimate of weighted Fekete sums on the Berkovich projective line
p. 257-272
Gauss sums, Stickelberger’s theorem and the Gras conjecture for ray class groups
p. 273-299

Sommaire du Fascicule no. 4

A quantitative form of the Erdős–Birch theorem
p. 301-311
The equivariant local $\varepsilon $-constant conjecture for unramified twists of $\mathbb Z_p(1)$
p. 313-383
On the solvability of an Eisenstein trinomial of prime degree
p. 385-396