Advances in Number Theory The Proceedings of the Third Conference of the Canadian Number Theory Association, August 18-24, 1991, The Queen's University at Kingston

by Gouvea, Fernando Q.; Yui, Noriko

• ISBN13: 9780198536680
• ISBN10: 0198536682
• Format: Hardcover
• Copyright: 1993-05-20
• Publisher: Clarendon Press

Summary

This book contains the proceedings of the third conference of the Canadian Number Theory Association. The 38 technical papers presented in this volume discuss relevant and timely issues in the fields of analytic number theory, arithmetical algebraic geometry, and diophantine approximation. The book includes several papers honoring Paulo Ribenboim, to whom this conference was dedicated.

Table of Contents

Plenary Addresses

Exotic Values of G-functions

Irregularities in the Distribution of Primes

The Dirichlet Divisor Problem

A Motivated Introduction to the Langlands Program

Transcendental Numbers and Functions of Several Variables

Square Roots of Central Values of Hecke L-series

Analytic Number Theory Invited Addresses

A Formula for the Fourier Coefficients of Maass Cusp Forms

The Additive Divisor Problem and Exponential Sums

Distribution of Small Powers of a Primitive Root, Hugh L. Montgomery Contributed Talks

Ordered Factorizations for Integers and Arithmetical Semigroups

A Simple Proof for Non-Monogenesis of the Rings of Integers in some Cyclic Fields

Representing integers as Sums of Squares and Hypothesis H

Arithmetical Algebraic Geometry Invited Addresses

The Tate Conjecture for Almost Ordinary Abelian Varieties over Finite Fields

The Notion of a Shimura Variety

Galois Action on the Nilpotent Completion of the Fundamental Group of an Algebraic Curve

Arithmetic of Subvarieties of Abelian and Semiabelian Varieties, Paul Vojta Contributed Talks

Projection from an Algebraic Quadratic Form to Rational Quadratic Forms

Construction of S4-fields and Modular Forms of weight 1

A Universal Format for Local/Global Theories

Shimura Reciprocity for Modular Functions with Rational Fourier Coefficients

On Serre's Conjecture (3.2.4?) and Vertical Weil Curves

Units in Number Fields and Elliptic Curves

Descent by 3-isogeny and 3-Rank of Quadratic Fields

Finite Heights and Rational Points on Surfaces

Diophantine Approximation Invited Addresses

Linear Recurrence for Some Generalized Pisot Sequences

Algebraic Independence of Drinfeld Exponential and Quasi-Periodic Functions

Estimates for Discriminate and Resultants of Binary Forms

A Note on Thue's Inequality with Few Coefficients, Julia Mueller Contributed Talks

K-Nombres de Pisot et de Salem

Cubic Inequalities of Additive Type

Discrepance et Diaphone en Dimension Un

Une Relation Entre les Points Entiers sur une Courbe Algebrique et les Points Rationels de la Jacobienne

Problemes de Favard et de Lehmer Generalises

On the V-adic Independence of Algebraic Numbers

Continued Fractions of Formal Power Series

Session in Honor of Paulo Ribenboim Plenary Address

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