Théorie Des Nombres/ Number Theory: Proceedings of the International Number Theory Conference Held at Université Laval, July 5-18, 1987 (de Gruyter Proceedings in Mathematics)

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications. 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 éditeurs, Jean-marie De Koninck, Claude Levesque = Number Theory : Proceedings Of The International Number Theory Conference Held At Université Laval, July 5-18, 1987 / Editors, Jean-marie De Koninck, Claude Levesque. English And French. Includes Bibliographical References.