Geodesic

Sommaire du Fascicule no. 1

Unique representation bases for the integers
p. 1-8
Lattice points in bodies with algebraic boundary
p. 9-24
Parametrization of low-degree points on a Fermat curve
p. 25-35
Sparse polynomial exponential sums
p. 37-52
Note on a variant of the Erdős–Ginzburg–Ziv problem
p. 53-59
On the correlation of the truncated Liouville function
p. 61-76
On power residues
p. 77-94

Sommaire du Fascicule no. 2

On square values of quadratics
p. 95-111
On the vanishing of Iwasawa invariants of geometric cyclotomic ${\Bbb Z}_p$-extensions
p. 113-122
On certain congruences for Fourier coefficients of classical cusp forms
p. 123-126
Cycles of polynomial mappings in several variables over rings of integers in finite extensions of the rationals
p. 127-146
Anisotropic forms modulo $p^2$
p. 147-151
Une propriété arithmétique des bases additives. Un critère de non-base
p. 153-166
Improved upper bounds for the star discrepancy of digital nets in dimension 3
p. 167-189
Extremely non-normal continued fractions
p. 191-202

Sommaire du Fascicule no. 3

Dedekind sums with characters and class numbers of imaginary quadratic fields
p. 203-215
On Hecke $L$-functions associated with cusp forms
p. 217-234
Multiplier systems
p. 235-243
On vertical zeros of $\Re \zeta (s)$ and $\Im \zeta (s)$
p. 245-251
On the distribution of squares of integral Cayley numbers
p. 253-265
Greither's maximal independent system of units in global function fields
p. 267-274
Counting rational points on cubic and quartic surfaces
p. 275-295
On the Waring–Goldbach problem with small non-integer exponent
p. 297-302

Sommaire du Fascicule no. 4

Relations among certain number knots
p. 303-313
Estimation of some exponential sums containing the fractional part function and some other “non-standard" exponential sums
p. 315-326
Sur les équations $x^p+2^{\beta}y^p = z^2$ et $x^p+2^{\beta}y^p = 2z^2$
p. 327-338
Families of elliptic curves of high rank with nontrivial torsion group over ${\Bbb Q}$
p. 339-356
Greenberg's conjecture for ${\Bbb Z}_p^d$-extensions
p. 357-368
On simultaneous diophantine equations
p. 369-377
Simultaneous Diophantine approximation and asymptotic formulae on manifolds
p. 379-389
Zeta function and Zharkovskaya's theorem on Siegel modular forms of half-integral weight
p. 391-399