Geodesic

Sommaire du Fascicule no. 1

Répartition des suites $(n\alpha )_{n\in {\Bbb N}}$ et substitutions
p. 1-22
Arithmetics of beta-expansions
p. 23-40
Sums of cubes of polynomials
p. 41-50
Formes cubiques sur ${\Bbb F}_{2^h} [T]$
p. 51-74
Bielliptic modular curves $X_1(N)$
p. 75-86
The diophantine equation $x^2=p^a\pm p^b+1$
p. 87-101

Sommaire du Fascicule no. 2

The number of $k$-sums of abelian groups of order $k$
p. 103-107
Wild kernels at the prime 2
p. 109-130
Hecke operators for ${\rm GL}_n$ and buildings
p. 131-140
Approximate formulae for $L(1,\chi )$, II
p. 141-149
Fractions rationnelles hyperboliques $p$-adiques
p. 151-175
Annihilators for the class group of a cyclic field of prime power degree
p. 177-198
A density result for elliptic Dedekind sums
p. 199-208

Sommaire du Fascicule no. 3

On the Tate–Shafarevich group of semistable elliptic curves with a rational 3-torsion
p. 209-227
Digit derivatives and application to zeta measures
p. 229-245
Metric properties for $p$-adic Oppenheim series expansions
p. 247-261
Congruence monoids
p. 263-296
Large sieve inequality with characters to square moduli
p. 297-308
On fluctuations in the mean of a sum-of-divisors function
p. 309-311

Sommaire du Fascicule no. 4

Arithmetic properties of numbers with restricted digits
p. 313-332
Sums of values of a rational function
p. 333-343
$2$-extensions of $\mathbb {Q}$ with trivial $2$-primary Hilbert kernel
p. 345-366
On higher-power moments of ${\mit\Delta } (x)$
p. 367-395
Explicit formulas for strong Davenport pairs
p. 397-403
New solutions to $xyz = x+y+z = 1$ in integers of quartic fields
p. 405-409