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

doi:10.1017/CBO9780511721304

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.

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Diophantine Analysis

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

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Contents

Frontmatter
pp i-vi

Contributors
pp vii-viii

Contents
pp ix-x

Introduction
pp xi-xii

1 - An “ideal” transcendence measure
pp 1-20

2 - Galois orbits on abelian varieties and zero estimates
pp 21-36

3 - Small solutions of congruences with prime modulus
pp 37-66

4 - Newton polyhedra and solutions of congruences
pp 67-82

5 - On prime factors of sums of integers II
pp 83-98

6 - An introduction to continued fractions
pp 99-138

7 - Search for the three-dimensional approximation constant
pp 139-146

8 - Inverse problems for Mahler's measure
pp 147-158

9 - Large Newman polynomials
pp 159-170

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Diophantine Analysis

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

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