Advances in Number Theory

The Proceedings of the Third Conference of the Canadian Number Theory Association
Erscheinungsjahr 1993
ISBN: 978-0-19-853668-0
Verlag: Oxford University Press

Buch, Englisch, 558 Seiten, Format (B × H): 162 mm x 243 mm, Gewicht: 960 g

The key feature at this conference was the 33 invited papers from the world's leading number theorists. Talks were in three sessions: analytical number theory; arithmetical algebraic geometry; and diophantive approximation. Speakers included: F.Beukers (University of Utrecht); R. Heath-Brown (Oxford); H.L. Montgomery (Ann Arbor, Michigan); T. Nakahara (Saga University, Japan); Y. Zarhin (Academy of Science, USSR).

Autoren/Hrsg.

Gouvêa, Fernando Q.

Yui, Noriko

Inhaltsverzeichnis

- Preface

- List of Invited Addresses

- List of Contributed Talks

- Conference Participants

- Picture

- List of Contributors

- 1: Plenary Addresses

- 1.1: F. Beukers: Exotic values of G-functions

- 1.2: John B. Friedlander: Irregularities in the Distribution of Primes

- 1.3: D.R. Heath-Brown: The Dirichlet Divisor Problem

- 1.4: M. Ram Murty: A Motivated Introduction to the Langlands Program

- 1.5: Michael Waldschmidt: Transcendental Numbers and Functions of Several Variables

- 1.6: F. Rodriguez Villegas and Don Zagier: Square roots of central values of Hecke L-series

- 2: Analytic Number Theory

- Invited Addresses

- 2.1: Henryk Iwaniec: A Formula for the Fourier Coefficients of Maass Cusp Forms

- 2.2: M. Jutila: The Additive Divisor Problem and Exponential Sums

- 2.3: Hugh L. Montgomery: Distribution of Small Powers of a Primitive Root

- Contributed Talks

- 2.4: A. Knopfmacher, J. Knopfmacher and R. Warlimont: Ordered Factorizations for Integers and Arithmetical Semigroups

- 2.5: Toru Nakahara: A Simple Proof for Non-Monogenesis of the Rings of Integers in some Cyclic Fields

- 2.6: Jukka Pihko: Representing integers as sums of squares and Hypothesis H

- 3: Arithmetical Algebraic Geometry

- Invited Addresses

- 3.1: Hendrik W. Lenstra, Jr. and Yuri G. Zarhin: The Tate Conjecture for Almost Ordinary Abelian Varieties over Finite Fields

- 3.2: V. Kumar Murty: The Notion of a Shimura Variety

- 3.3: Takayuki Oda: Galois Action on the Nilpotent Completion of the Fundamental Group of an Algebraic Curve

- 3.4: Paul Vojta: Arithmetic of Subvarieties of Abelian and Semiabelian Varieties

- Contributed Talks

- 3.5: Harvey Cohn: Projection from an Algebraic Quadratic Form to Rational Quadratic Forms

- 3.6: Teresa Crespo: Construction of S4-fields and modular forms of weight 1

- 3.7: Paul Feit: A Universal Format for Local/Global Theories

- 3.8: Alan J. Laing: Shimura Reciprocity for Modular Functions with Rational Fourier Coefficients

- 3.9: Joan-C. Lario: On Serre's conjecture (3.2.4?) and vertical Weil Curves

- 3.10: Odile Lecacheux: Units in Number Fields and Elliptic Curves

- 3.11: Jaap Top: Descent by 3-isogeny and 3-Rank of quadratic fields

- 3.12: Yuri Tschinkel: Finite heights and rational points on surfaces

- Chapter IV: Diophantine Approximation

- Invited Addresses

- 4.1: David W. Boyd: Linear recurrence for some generalized Pisot sequences

- 4.2: W. Dale Brownawell: Algebraic Independence of Drinfeld Exponential and Quasi-Periodic Functions

- 4.3: Jan-Hendrik Evertse: Estimates for Discriminate and Resultants of Binary Forms

- 4.4: Julia Mueller: A note on Thue's inequality with few coefficients

- Contributed Talks

- 4.5: M.J. Bertin: K-Nombres de Pisot et de Salem

- 4.6: J. Brüdern and R.J. Cook: Cubic Inequalities of Additive Type

- 4.7: Henri Faure: Discrepance et Diaphone en Dimension Un

- 4.8: Noriko Hirata-Kohno: Une Relation Entre les Points Entiers sur une Courbe Algébrique et les Points Rationels de la Jacobienne

- 4.9: Micehl Langevin: Problèmes de Favard et de Lehmer Generalisés

- 4.10: Damien Roy: On the v-adic independence of algebraic numbers

- 4.11: A.J. van der Poorten: Continued fractions of formal power series

- Chapter V: Session in Honour of Paulo Ribenboim

- Plenary Address

- 5.1: Andrew Granville: Paulo Ribenboim, at the time of his retirement

- 5.2: Andrew Granville: The Kummer-Wieferich-Skula Approach to the First Case of Fermat's Last Theorem

- Invited Addresses

- 5.3: S. Louboutin, R.A. Mollin, and H.C. Williams: Class Groups of exponent two in real quadratic fields

- 5.4: J. Miná^c: Poincaré Polynomials, Stability Indices and Number of Orderings I

- 5.5: Speeches at the Banquet in Honour of P. Ribenboim

- 5.6: T.M. Viswanathan: Paulo Ribenboim: three aspects of his career

- Response