Geodesic

Sommaire du Fascicule no. 1

A sum analogous to Dedekind sums and its hybrid mean value formula
p. 1-8
Perfect powers in linear recurring sequences
p. 9-25
Cohomology sets inside arithmetic groups
p. 27-33
Additive relations with conjugate algebraic numbers
p. 35-43
On multiple Hurwitz zeta-function values at rational arguments
p. 45-67
Generalized Dedekind sums, correlation of $L$-series, and the Galois module of $\cot(\pi/{}N)\cot(m\pi/{}N)$
p. 69-89
On the relative class number of cyclotomic function fields
p. 91-101

Sommaire du Fascicule no. 2

Multivariate Diophantine equations with many solutions
p. 103-125
The difficulty of the local solubility problem for additive equations
p. 127-156
A congruence for the coefficients in a series for $\pi $
p. 157-160
On Hurwitzian and Tasoev's continued fractions
p. 161-177
Chowla's conjecture
p. 179-194
Upper bounds for the density of universality
p. 195-202

Sommaire du Fascicule no. 3

Visibility of lattice points
p. 203-207
Additive inhomogeneous Diophantine inequalities
p. 209-244
Some applications of Bombieri's estimate for exponential sums
p. 245-250
Bounds for the smallest integer point of a rational curve
p. 251-268
Asymptotic expansions of certain $q$-series and a formula of Ramanujan for specific values of the Riemann zeta function
p. 269-298
Subrings in imaginary quadratic fields which are not universal for $GE_2$
p. 299-305

Sommaire du Fascicule no. 4

A hybrid of theorems of Goldbach and Piatetski-Shapiro
p. 307-326
On the 3-class field tower of some biquadratic fields
p. 327-336
The arithmetic of the coefficients of half-integral weight Eisenstein series
p. 337-344
The Oppenheim series expansions and Hausdorff dimensions
p. 345-355
On some arithmetic properties of polynomial expressions involving Stirling numbers of the second kind
p. 357-372
A remark on real radical extensions
p. 373-379
Polynomials dividing infinitely many quadrinomials or quintinomials
p. 381-404