Geodesic

Sommaire du Fascicule no. 1

On some equalities for the Weierstrass modular units of level $ p$
p. 1-10
New pseudorandom sequences constructed using multiplicative inverses
p. 11-19
Identities concerning Bernoulli and Euler polynomials
p. 21-39
Lower bounds on the projective heights of algebraic points
p. 41-50
On pseudorandom binary lattices
p. 51-62
Absolute tensor products, Kummer's formula and functional equations for multiple Hurwitz zeta functions
p. 63-78
On the number of rational squares at fixed distance from a fifth power
p. 79-88
On a problem of Erdős and Graham concerning digits
p. 89-100

Sommaire du Fascicule no. 2

Principe de Hasse et rang pour des courbes de genre 2 à jacobienne simple
p. 101-114
Hausdorff dimension of real numbers with bounded digit averages
p. 115-162
A problem of Erdős–Szüsz–Turán on diophantine approximation
p. 163-177
Primes with preassigned digits
p. 179-185
Bombieri–Vinogradov type theorems for sparse sets of moduli
p. 187-201

Sommaire du Fascicule no. 3

Asymptotic behavior of the number of solutions for non-Archimedean Diophantine approximations
p. 203-214
Non-abelian number fields with very large class numbers
p. 215-255
A functional relation for the Tornheim double zeta function
p. 257-263
Determinants of multiplicative Toeplitz matrices
p. 265-284
Divisibility criteria for class numbers of imaginary quadratic fields
p. 285-289
Sums of arithmetic functions over values of binary forms
p. 291-304

Sommaire du Fascicule no. 4

On the ergodicity of the Weyl sums cocycle
p. 305-316
Difference independence of the Riemann zeta function
p. 317-329
On the mean value of the index of composition of an integer
p. 331-345
A parametric family of sextic Thue equations
p. 347-361
Abelian $p$-class field towers over the cyclotomic $\mathbb {Z}_p$-extensions of imaginary quadratic fields
p. 363-381
Four prime squares and powers of 2
p. 383-391
Steinitz classes of central simple algebras
p. 393-406