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Théorie des Nombres/Number Theory : Proceedings of the International Number Theory Conference Held at Université Laval, July 5-18 1987.

By: Contributor(s): Series: De Gruyter Proceedings in Mathematics SerPublisher: Berlin/Boston : De Gruyter, Inc., 1989Copyright date: ©1989Description: 1 online resource (1026 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783110852790
Subject(s): Genre/Form: Additional physical formats: Print version:: Théorie des Nombres/Number Theory : Proceedings of the International Number Theory Conference Held at Université Laval, July 5-18 1987DDC classification:
  • 512.7
LOC classification:
  • QA241.I59 1987eb
Online resources:
Contents:
Intro -- 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.
Summary: 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.
Holdings
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Ebrary Ebrary Egypt Available
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Total holds: 0

Intro -- 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.

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.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2019. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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