Théorie des nombres / Number Theory

Proceedings of the International Number Theory Conference held at Université Laval, July 5-18, 1987

Jean M. de Koninck, Claude Levesque

• Éditeur: De Gruyter
• Année: 2011
• ISBN:
  9783110852790
• Édition: 1
• Sujet: Mathematics
• Sous-sujet: Mathematics General

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.

Table des matières

• 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