Introduction -- Remerciements / Acknowledgements -- Liste des participants / List of participants -- Table des matières / Table of contents -- Exponential Diophantine equations -- Quantitative aspects of the representations of integers by quadratic forms -- Diagonal cubic equations, I -- Irrational dilations of approximate multiplicative semigroups of integers -- Some special features of the Jacobi group -- Généralisation de suites de Pisot et de suites de Boyd -- Salem numbers of degree four have periodic expansions -- Applications of partition theory to groups: Covering the alternating group by products of conjugacy classes -- Variation of local heights on an algebraic family of abelian varieties -- Sur une fausse forme modulaire liée à des identités de Ramanujan et Andrews -- Global orders in definite quaternion algebras as endomorphism rings for reduced CM-elliptic curves -- Distribution properties of continuous curves -- On the torsion in quotients of the multiplicative groups in abelian extensions -- Binary quadratic forms over rings of algebraic integers: a survey of recent results -- Places totalement décomposées dans des Zp-extensions d'un corps de nombres -- Grandes valeurs de fonctions liées aux diviseurs premiers -- The maximal order and the average order of multiplicative function σ (e)(n) -- Discrépance quadratique de suites infinies en dimension un -- Integral solutions of linear systems -- Fractional parts of sequences -- On the distribution of divisor class groups of curves over a finite field -- Diophantine approximation, Krontcker's limit formula and the Riemann Hypothesis -- Le théorème de Riemann-Roch et Ies corps de nombres algébriques -- Functional equations and periodic sequences -- Zp-extensions of function fields -- Pseudoprimes on elliptic curves -- Least primes in arithmetic progressions.

Cyclic Galois extensions and normal bases -- Cubic and biquadratic pseudoprimes of Lucas type -- On some mean value results for the Riemann zeta-function -- Classical explicit reciprocity -- The distribution of badly approximable numbers and continuants with bounded digits -- Approximation de périodes de fonctions méromorphes -- L-series of automorphic forms on GL(3,R) -- Equations différentielles Fuchsiennes et approximations diophantiennes -- Exponential sums and the Riemann zeta function -- Some recent results on the Riemann zeta-function -- On the representations of a group as a Galois group over an arbitrary field -- On evaluation of certain limits in closed form -- Potential theory on curves -- Characterization of arithmetical functions, problems and results -- On a sufficient condition for the p-class tower of a CM-field to be infinite -- Calculation of general Gauss sums and quadratic Gauss sums in finite rings -- Transfinite diameter and Favard's problems on diameters of algebraic integers -- Poles of Dirichlet series and D-modules -- Small prime solutions of linear equations -- Unusually large gaps between consecutive primes -- On the congruence for Gauss sums and its applications -- On central extensions -- Prime producing quadratic polynomials and real quadratic fields of class number one -- Disjoint systems of rational Beatty sequences -- Complete determination of all torsion groups of elliptic curves with integral absolute invariant over quadratic and pure cubic fields -- On generalized zeta-functions -- Bounds for solutions of simultaneous diagonal equations of odd degree -- Long arithmetic progressions and powers of 2 -- Sur la cohomologie de certains modules galoisiens p-ramifiés -- On Euler's φ -function in quadratic number fields -- Ternary code construction of even unimodular lattices.

On the distribution of values of an error term related to the Euler function -- Formes linéaires de logarithmes elliptiques et mesures de transcendance -- On a question of Tverberg -- Titchmarsh series -- Galois representations associated to generic formal groups -- A local construction of the local root numbers -- On Fermat d-pseudoprimes -- Exponential sums of digit counting functions -- Some computational results on a problem of Eisenstein -- The Eisenstein measure and real quadratic fields -- Carmichael's conjecture and some analogues -- The algebraic independence of three numbers: Schneider's method -- The number of solutions of certain equations of the form f(xm) = g(yn) over a finite field -- On entire functions assuming integer values in a geometric sequence -- Stickelberg's theorem for cyclotomic fields, in the spirit of Kummer and Thaine -- A propos d'un lemme de K . Kato sur le groupe de Brauer en caractéristique p.