Geodesic

Sommaire du Fascicule no. 1

Compatible families of elliptic type
p. 1-9
Gauss sums for prime powers in $p$-adic fields
p. 11-39
Some results on Oppenheim's “Factorisatio Numerorum” function
p. 41-50
On the product of heights of algebraic numbers summing to real numbers
p. 51-58
On the concentration of points on modular hyperbolas and exponential curves
p. 59-66
Non-converging continued fractions related to the Stern diatomic sequence
p. 67-78
On the Lehmer constant of finite cyclic groups
p. 79-84
Transcendence of infinite sums of simple functions
p. 85-102

Sommaire du Fascicule no. 2

Mod $p^3$ analogues of theorems of Gauss and Jacobi on binomial coefficients
p. 103-118
On the problem of detecting linear dependence for products of abelian varieties and tori
p. 119-128
Localized solutions in Waring's problem: the lower bound
p. 129-143
The density of $S$-integral points in projective space with respect to a quadric
p. 145-156
Independence results for pattern sequences in distinct bases
p. 157-167
The binary Goldbach problem with arithmetic weights attached to one of the variables
p. 169-178
On the generalization of the D. H. Lehmer problem II
p. 179-186
Asymptotic estimates for some number-theoretic power series
p. 187-196
Corrigendum to “Distribution of the traces of Frobenius on elliptic curves over function fields” (Acta Arith. 106 (2003), 255–263)
p. 197-198

Sommaire du Fascicule no. 3

On Jacobi sums in $\mathbb Q(\zeta_p )$
p. 199-218
Extreme binary forms
p. 219-249
Small zeros of hermitian forms over a quaternion algebra
p. 251-266
Primitive lattice points in planar domains
p. 267-302

Sommaire du Fascicule no. 4

A new multiple Dirichlet series induced by a higher-order form
p. 303-309
A Turán–Kubilius type inequality on sum sets
p. 311-329
Complexity of infinite sequences with zero entropy
p. 331-346
Approximations rationnelles des valeurs de la fonction Gamma aux rationnels : le cas des puissances
p. 347-365
Short sums of restricted Möbius functions
p. 367-375
Roth's theorem on systems of linear forms in function fields
p. 377-386
Supersingular distribution on average for congruence classes of primes
p. 387-400