Geodesic

Sommaire du Fascicule no. 1

A note on global units and local units of function fields
p. 1-8
An algorithmic construction of cyclic $p$-extensions of fields, with characteristic different from $p$, not containing the $p$th roots of unity
p. 9-16
The Goldston–Pintz–Yıldırım sieve and maximal gaps
p. 17-42
$p$-adic polylogarithms and irrationality
p. 43-55
On the Diophantine equation $X^2-(2^{2m}+1)Y^4=-2^{2m}$
p. 57-63
On a mixed problem in Diophantine approximation
p. 65-77
Indecomposable polynomials and their spectrum
p. 79-100

Sommaire du Fascicule no. 2

Function fields with 3-rank at least 2
p. 101-110
On the group of circular units of any compositum of quadratic fields
p. 111-115
A general discrepancy estimate based on $p$-adic arithmetics
p. 117-129
Stability aspects of arithmetic functions, II
p. 131-146
The Rhin–Viola method for $log 2$
p. 147-184
Additive properties of a pair of sequences
p. 185-197

Sommaire du Fascicule no. 3

Parabolic, hyperbolic and elliptic Poincaré series
p. 199-228
Billiards and the five distance theorem
p. 229-239
A construction of pseudorandom binary sequences using both additive and multiplicative characters
p. 241-252
On the distribution of the distances of multiples of an irrational number to the nearest integer
p. 253-264
A formula for the supersingular polynomial
p. 265-273
Squares in Lehmer sequences and the Diophantine equation $Ax^4-By^2=2$
p. 275-302

Sommaire du Fascicule no. 4

Edmund Hlawka (1916–2009)
p. 303-320
Higher order modular forms and mixed Hodge theory
p. 321-340
An arithmetical mapping and applications to $\mit\Omega $-results for the Riemann zeta function
p. 341-367
How many points contain arithmetic progressions in their continued fraction expansion?
p. 369-376
Fonction de Tschakaloff et fonction $q$-exponentielle
p. 377-393
On the number of representations of integers as the sum of $k$ terms
p. 395-406