Geodesic

Sommaire du Fascicule no. 1

Algebraic independence of the values of Mahler functions satisfying implicit functional equations
p. 1-20
Hausdorff dimension and a generalized form of simultaneous Diophantine approximation
p. 21-36
Zeros of Dirichlet L-series on the critical line
p. 37-52
Existence of a non-entire twist for a class of L-functions
p. 53-65
On explicit relations between cyclotomic numbers
p. 67-76
Approximation d'un nombre réel par des nombres algébriques de degré donné
p. 77-86
Irreducibility of the iterates of a quadratic polynomial over a field
p. 87-97

Sommaire du Fascicule no. 2

The Fekete-Szegő theorem with splitting conditions: Part I
p. 99-116
A note on evaluations of some exponential sums
p. 117-119
Explicit moduli for curves of genus 2 with real multiplication by ℚ(√5)
p. 121-138
A note on a result of Bateman and Chowla
p. 139-148
On sets of natural numbers without solution to a noninvariant linear equation
p. 149-155
Certain mean values and non-vanishing of automorphic L-functions with large level
p. 157-176
On rational Morley triangles
p. 177-187
Reciprocity laws for generalized higher dimensional Dedekind sums
p. 189-199

Sommaire du Fascicule no. 3

The rational points close to a curve II
p. 201-219
Estimation of exponential sums of polynomials of higher degrees II
p. 221-235
Theta correspondence and Hecke operators relative to a quadratic extension
p. 237-255
Generation of class fields by the modular function $j_{1,12}$
p. 257-291
A conditional density theorem for the zeros of the Riemann zeta-function
p. 293-301

Sommaire du Fascicule no. 4

Invariants des courbes de Frey-Hellegouarch et grands groupes de Tate-Shafarevich
p. 303-327
Universal normal bases for the abelian closure of the field of rational numbers
p. 329-341
The Fourier coefficients of modular forms and Niebur modular integrals having small positive weight, II
p. 343-358
On the distribution of squares of integral quaternions
p. 359-372
Families of Pisot numbers with negative trace
p. 373-385
Incomplete exponential sums over finite fields and their applications to new inversive pseudorandom number generators
p. 387-399