Théorie des nombres / Number Theory : : Proceedings of the International Number Theory Conference held at Université Laval, July 5-18, 1987 / / Claude Levesque, Jean M. de Koninck.

• Superior document: Title is part of eBook package: De Gruyter DGBA Mathematics - <1990
• MitwirkendeR: Alex, L. J.,; Arenas, A.,; Baker, R.C.,; Berend, Daniel,; Berndt, Rolf,; Bertin, Μ. J .,; Boyd, David W.,; Brenner, J . L .,; Call, Gregory S.,; Cohen, Henri,; Do, Thong Nguyen Quang,; Dorman, David R.,; Drmota, Michael,; Dummit, D. S.,; Earnest, A.G.,; Emsalem, Michel,; Erdös, Paul,; Fabrykowski, J.,; Faure, Henri,; Flahive, Mary E.,; Foster, L. L.,; Friedlander, John B.,; Friedman, Eduardo,; Fujii, Akio,; Gold, R.,; Gordon, Daniel M.,; Granville, Andrew,; Greither, Cornelius,; Gurak, S.,; Gérardin, Paul,; Hafner, J.L.,; Hensley, Doug,; Hirata, Noriko,; Hoffstein, Jeff,; Huttner, Marc,; Huxley, M.N.,; Hélou, Charles,; Ivić, A.,; Ivić, Aleksandar,; Jensen, C. U.,; Kanemitsu, S.,; Kani, Ernst,; Kisilevsky, H.,; Kátai, I.,; Labute, J.,; Lamprecht, E.,; Langevin, M.,; Li, Wen-Ch\x27ing Winnie,; Lichtin, Ben,; List, R . J .,; Liu, Ming-Chit,; Maier, Helmut,; Meter, Robert G. Van,; Miki, Hiroo,; Miyake, Katsuya,; Mollin, R.A.,; Morikawa, R.,; Murty, M. Ram,; Müller, Hans H.,; Müller, Helmut,; Nadesalingam, T.,; Nathanson, Melvyn B.,; Nicolas, Jean-Louis,; Nowak, Werner Georg,; Ozeki, Michio,; Petermann, Y.-F. S.,; Philippon, Patrice,; Pihko, Jukka,; Pitman, Jane,; Pomerance, Carl,; Ramachandra, Κ.,; Reyssat, E.,; Rhin, G.,; Rosen, Michael,; Snaith, Victor,; Somer, Lawrence,; Stein, Alan H.,; Stephens, A.J.,; Stevens, Glenn,; Stroher, Harald,; Subbarao, M.V.,; Tichy, Robert F.,; Tsang, Kai-Man,; Tubbs, Robert,; Waldschmidt, Michel,; Wallisser, R. V.,; Washington, Lawrence C.,; Williams, H.C.,; Wyler, Thomas,; Yip, L.W.,; Zimmer, Horst G.,; Zimmermann, Karl,
• HerausgeberIn: Koninck, Jean M. de,; Levesque, Claude,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2011]; ©1989
• Year of Publication: 2011
• Edition: Reprint 2011
• Language: French
• Series: De Gruyter Proceedings in Mathematics
• Physical Description: 1 online resource (1002 p.)

Table of Contents

I-IV -- 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 consécutifs d'un entier -- 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, Kronecker's limit formula and the Riemann Hypothesis -- Le théorème de Riemann-Roch et les 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 differentielles 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 lineaires 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 Einsenstein -- 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 -- Stickelberger's theorem for cyclotomic fields, in the spirit of Kummer and Thaine -- A propos d'un lemme de Κ. Kato sur le groupe de Brauer en caractéristique ρ -- 1003-1006