Diophantine Analysis: Proceedings at the Number Theory Section of the 1985 Australian Mathematical Society Convention

by Edited by J. H. Loxton , A. J. van Poorten

• ISBN13: 9780521339230
• ISBN10: 0521339235
• Format: Paperback
• Copyright: 1986-07-25
• Publisher: Cambridge University Press
• More Book Details

Summary

The papers in this volume, which were presented at the 1985 Australian Mathematical Society convention, survey recent work in Diophantine analysis. The contributors are leading mathematicians in the world, and their articles are state of the art accounts, many of which include open problems pointing the way to further research. The contributions will be of general interest to number theorists and of particular interest to workers in transcendence theory, Diophantine approximation and exponential sums.

Table of Contents

Introduction

1. An 'ideal' transcendence measure W. Dale Brownawell

2. Galois orbits on abelian varieties and zero estimates Daniel Bertrand

3. Small solutions of congruences with prime modulus Wolfgang M. Schmidt

4. Newton polyhedra and solutions of congruences Kamel A. Atan and J. H. Loxton

5. On prime factors of sums of integers II C. L. Stewart and R. Tijdeman

6. An introduction to continued fractions A. J. van der Poorten

7. Search for the three-dimensional approximation constant G. Szekeres

8. Inverse problems for Mahler's measure David W. Boyd

9. Large Newman polynomials David W. Boyd.