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9780198536680

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 ;
  • ISBN13:

    9780198536680

  • ISBN10:

    0198536682

  • Format: Hardcover
  • Copyright: 1993-05-20
  • Publisher: Clarendon Press

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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
Table of Contents provided by Publisher. All Rights Reserved.

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