Advances in Number Theory: The Proceedings of the Third Conference of the Canadian Number Theory Association - Rilegato

Rilegato

ISBN 10: 0198536682 ISBN 13: 9780198536680

Casa editrice: Clarendon Press, 1993

Riassunto

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).

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Recensione

'The size of this volume is a testimony to the variety and interest of the material presented at the conference.'L'Enseignement Mathématique, 3-4 1993

Contenuti

• 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
• Paulo Ribenboim: Response

Dettagli dell'edizione

• Editore: Clarendon Press
• Data di pubblicazione: 1993
• Lingua: Inglese
• ISBN 10: 0198536682
• ISBN 13: 9780198536680
• Rilegatura: Copertina rigida
• Numero di pagine: 558
• Redattore: Gouvêa Fernando Q., Yui Noriko
• Contatto del produttore: non disponibile
• Persona responsabile: Penguin Random House Ireland Limited; productsafety@penguin.co.uk; ; Morrison Chambers, 32 Nassau Street; Dublin; D02 YH68; Irlanda