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

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Théorie des nombres / Number Theory

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

Edited by: Jean M. de Koninck and Claude Levesque

Language: French

Published/Copyright: 1989

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De Gruyter Proceedings in Mathematics

Topics

Mathematics Algebra and Number Theory

I-IV Requires Authentication Unlicensed Licensed	I
Introduction Requires Authentication Unlicensed Licensed	V
Remerciements / Acknowledgements Requires Authentication Unlicensed Licensed	IX
Liste des participants / List of participants Requires Authentication Unlicensed Licensed	XI
Table des matières / Table of contents Requires Authentication Unlicensed Licensed	XVII
Exponential Diophantine equations L. J. Alex and L. L. Foster Requires Authentication Unlicensed Licensed	1
Quantitative aspects of the representations of integers by quadratic forms A. Arenas Requires Authentication Unlicensed Licensed	7
Diagonal cubic equations, I R.C. Baker Requires Authentication Unlicensed Licensed	15
Irrational dilations of approximate multiplicative semigroups of integers Daniel Berend Requires Authentication Unlicensed Licensed	29
Some special features of the Jacobi group Rolf Berndt Requires Authentication Unlicensed Licensed	41
Généralisation de suites de Pisot et de suites de Boyd Μ. J . Bertin Requires Authentication Unlicensed Licensed	51
Salem numbers of degree four have periodic expansions David W. Boyd Requires Authentication Unlicensed Licensed	57
Applications of partition theory to groups: Covering the alternating group by products of conjugacy classes J . L . Brenner and R . J . List Requires Authentication Unlicensed Licensed	65
Variation of local heights on an algebraic family of abelian varieties Gregory S. Call Requires Authentication Unlicensed Licensed	72
Sur une fausse forme modulaire liée à des identités de Ramanujan et Andrews Henri Cohen Requires Authentication Unlicensed Licensed	97
Global orders in definite quaternion algebras as endomorphism rings for reduced CM elliptic curves David R. Dorman Requires Authentication Unlicensed Licensed	108
Distribution properties of continuous curves Michael Drmota and Robert F. Tichy Requires Authentication Unlicensed Licensed	117
On the torsion in quotients of the multiplicative groups in abelian extensions D. S. Dummit Requires Authentication Unlicensed Licensed	128
Binary quadratic forms over rings of algebraic integers: a survey of recent results A.G. Earnest Requires Authentication Unlicensed Licensed	133
Places totalement décomposées dans des Zp-extensions d'un corps de nombres Michel Emsalem Requires Authentication Unlicensed Licensed	160
Grandes valeurs de fonctions liées aux diviseurs premiers consécutifs d'un entier Paul Erdös and Jean-Louis Nicolas Requires Authentication Unlicensed Licensed	169
The maximal order and the average order of multiplicative function σ(e)(n) J. Fabrykowski and M.V. Subbarao Requires Authentication Unlicensed Licensed	201
Discrépance quadratique de suites infinies en dimension un Henri Faure Requires Authentication Unlicensed Licensed	207
Integral solutions of linear systems Mary E. Flahive Requires Authentication Unlicensed Licensed	213
Fractional parts of sequences John B. Friedlander Requires Authentication Unlicensed Licensed	220
On the distribution of divisor class groups of curves over a finite field Eduardo Friedman and Lawrence C. Washington Requires Authentication Unlicensed Licensed	227
Diophantine approximation, Kronecker's limit formula and the Riemann Hypothesis Akio Fujii Requires Authentication Unlicensed Licensed	240
Le théorème de Riemann-Roch et les corps de nombres algébriques Paul Gérardin Requires Authentication Unlicensed Licensed	251
Functional equations and periodic sequences Paul Gérardin and Wen-Ch'ing Winnie Li Requires Authentication Unlicensed Licensed	267
Zp-extensions of function fields R. Gold and H. Kisilevsky Requires Authentication Unlicensed Licensed	280
Pseudoprimes on elliptic curves Daniel M. Gordon Requires Authentication Unlicensed Licensed	290
Least primes in arithmetic progressions Andrew Granville Requires Authentication Unlicensed Licensed	306
Cyclic Galois extensions and normal bases Cornelius Greither Requires Authentication Unlicensed Licensed	322
Cubic and biquadratic pseudoprimes of Lucas type S. Gurak Requires Authentication Unlicensed Licensed	330
On some mean value results for the Riemann zeta-function J.L. Hafner and A. Ivić Requires Authentication Unlicensed Licensed	348
Classical explicit reciprocity Charles Hélou Requires Authentication Unlicensed Licensed	359
The distribution of badly approximable numbers and continuants with bounded digits Doug Hensley Requires Authentication Unlicensed Licensed	371
Approximation de périodes de fonctions méromorphes Noriko Hirata Requires Authentication Unlicensed Licensed	386
L-series of automorphic forms on GL(3,R) Jeff Hoffstein and M. Ram Murty Requires Authentication Unlicensed Licensed	398
Equations differentielles Fuchsiennes et approximations diophantiennes Marc Huttner Requires Authentication Unlicensed Licensed	409
Exponential sums and the Riemann zeta function M.N. Huxley Requires Authentication Unlicensed Licensed	417
Some recent results on the Riemann zeta-function Aleksandar Ivić Requires Authentication Unlicensed Licensed	424
On the representations of a group as a Galois group over an arbitrary field C. U. Jensen Requires Authentication Unlicensed Licensed	441
On evaluation of certain limits in closed form S. Kanemitsu Requires Authentication Unlicensed Licensed	459
Potential theory on curves Ernst Kani Requires Authentication Unlicensed Licensed	475
Characterization of arithmetical functions, problems and results I. Kátai Requires Authentication Unlicensed Licensed	544
On a sufficient condition for the p—class tower of a CM—field to be infinite H. Kisilevsky and J. Labute Requires Authentication Unlicensed Licensed	556
Calculation of general Gauss sums and quadratic Gauss sums in finite rings E. Lamprecht Requires Authentication Unlicensed Licensed	561
Transfinite diameter and Favard's problems on diameters of algebraic integers M. Langevin, E. Reyssat and G. Rhin Requires Authentication Unlicensed Licensed	574
Poles of Dirichlet series and D-modules Ben Lichtin Requires Authentication Unlicensed Licensed	579
Small prime solutions of linear equations Ming-Chit Liu and Kai-Man Tsang Requires Authentication Unlicensed Licensed	595
Unusually large gaps between consecutive primes Helmut Maier and Carl Pomerance Requires Authentication Unlicensed Licensed	625
On the congruence for Gauss sums and its applications Hiroo Miki Requires Authentication Unlicensed Licensed	633
On central extensions Katsuya Miyake Requires Authentication Unlicensed Licensed	642
Prime producing quadratic polynomials and real quadratic fields of class number one R.A. Mollin and H.C. Williams Requires Authentication Unlicensed Licensed	654
Disjoint systems of rational Beatty sequences R. Morikawa Requires Authentication Unlicensed Licensed	664
Complete determination of all torsion groups of elliptic curves with integral absolute invariant over quadratic and pure cubic fields Hans H. Müller, Harald Stroher and Horst G. Zimmer Requires Authentication Unlicensed Licensed	671
On generalized zeta—functions Helmut Müller Requires Authentication Unlicensed Licensed	699
Bounds for solutions of simultaneous diagonal equations of odd degree T. Nadesalingam and Jane Pitman Requires Authentication Unlicensed Licensed	703
Long arithmetic progressions and powers of 2 Melvyn B. Nathanson Requires Authentication Unlicensed Licensed	735
Sur la cohomologie de certains modules galoisiens p-ramifiés Thong Nguyen Quang Do Requires Authentication Unlicensed Licensed	740
On Euler's φ — function in quadratic number fields Werner Georg Nowak Requires Authentication Unlicensed Licensed	755
Ternary code construction of even unimodular lattices Michio Ozeki Requires Authentication Unlicensed Licensed	772
On the distribution of values of an error term related to the Euler function Y.-F. S. Petermann Requires Authentication Unlicensed Licensed	785
Formes lineaires de logarithmes elliptiques et mesures de transcendance Patrice Philippon and Michel Waldschmidt Requires Authentication Unlicensed Licensed	798
On a question of Tverberg Jukka Pihko Requires Authentication Unlicensed Licensed	806
Titchmarsh series Κ. Ramachandra Requires Authentication Unlicensed Licensed	811
Galois representations associated to generic formal groups Michael Rosen and Karl Zimmermann Requires Authentication Unlicensed Licensed	815
A local construction of the local root numbers Victor Snaith Requires Authentication Unlicensed Licensed	823
On Fermat d-pseudoprimes Lawrence Somer Requires Authentication Unlicensed Licensed	841
Exponential sums of digit counting functions Alan H. Stein Requires Authentication Unlicensed Licensed	861
Some computational results on a problem of Einsenstein A.J. Stephens and H.C. Williams Requires Authentication Unlicensed Licensed	869
The Eisenstein measure and real quadratic fields Glenn Stevens Requires Authentication Unlicensed Licensed	887
Carmichael's conjecture and some analogues M.V. Subbarao and L.W. Yip Requires Authentication Unlicensed Licensed	928
The algebraic independence of three numbers: Schneider's method Robert Tubbs Requires Authentication Unlicensed Licensed	942
The number of solutions of certain equations of the form f(xm) = g(yn) over a finite field Robert G. Van Meter Requires Authentication Unlicensed Licensed	968
On entire functions assuming integer values in a geometric sequence R. V. Wallisser Requires Authentication Unlicensed Licensed	981
Stickelberger's theorem for cyclotomic fields, in the spirit of Kummer and Thaine Lawrence C. Washington Requires Authentication Unlicensed Licensed	990
A propos d'un lemme de Κ. Kato sur le groupe de Brauer en caractéristique ρ Thomas Wyler Requires Authentication Unlicensed Licensed	994
1003-1006 Requires Authentication Unlicensed Licensed	1003

Publishing information

Pages and Images/Illustrations in book

eBook published on:

June 15, 2011

eBook ISBN:

9783110852790

Hardcover published on:

September 1, 1989

Hardcover ISBN:

9783110117912

Edition:

Reprint 2011

Pages and Images/Illustrations in book

Front matter:

22

Main content:

1002

https://doi.org/10.1515/9783110852790

eBook ISBN: 9783110852790

Hardcover ISBN: 9783110117912

Keywords for this book

Zahlentheorie; Kongress; Quebec

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Théorie des nombres / Number Theory

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Table of contents

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