Geodesic

Sommaire du Fascicule no. 1

Zero order estimates for functions satisfying generalized functional equations of Mahler type
p. 1-12
Sums of powers: an arithmetic refinement to the probabilistic model of Erdős and Rényi
p. 13-33
Length of continued fractions in principal quadratic fields
p. 35-49
A character-sum estimate and applications
p. 51-78
An explicit version of Birch's Theorem
p. 79-96
Errata to "Average orders of multiplicative arithmetical functions of integer matrices" (Acta Arith. 66 (1994), 45-62)
p. 97-98

Sommaire du Fascicule no. 2

On the sum of a prime and the kth power of a prime
p. 99-118
A combinatorial approach to partitions with parts in the gaps
p. 119-133
Free groups acting without fixed points on rational spheres
p. 135-140
Discrepancy of weighted matrix nets
p. 141-156
Combinatoire des codages de rotations
p. 157-177
On sums of two cubes: an Ω₊-estimate for the error term
p. 179-195

Sommaire du Fascicule no. 3

Generators and equations for modular function fields of principal congruence subgroups
p. 197-207
Zero density estimates of L-functions associated with cusp forms
p. 209-227
Divisors in a Dedekind domain
p. 229-233
Relative Galois module structure of integers of local abelian fields
p. 235-248
Index for subgroups of the group of units in number fields
p. 249-263
Lattice points in bodies of revolution
p. 265-277
Distribution of values of Hecke characters of infinite order
p. 279-291

Sommaire du Fascicule no. 4

On the average number of unitary factors of finite abelian groups
p. 293-300
Das Flaviussche Sieb
p. 301-307
Условия ортогональности на конечных отрезках для функций π(x), R(x) входящих в закон простых чисел.
p. 309-330
Jacobi symbols, ambiguous ideals, and continued fractions
p. 331-349
Détermination de courbes elliptiques pour la conjecture de Szpiro
p. 351-376
Note on the congruence of Ankeny-Artin-Chowla type modulo p²
p. 377-388
On the Erdős-Turán inequality for balls
p. 389-396