Contents

pp v-vi

Preface

pp vii-viii

Addresses of contributors

pp ix-x

Participants

pp xi-xvi

MAIN SPEAKERS

Abelian functions and transcendence

pp 1-10

Measures of irrationality, transcendence and algebraic independence: recent progress

pp 11-82

The Riemann zeta-function

pp 83-91

On exponential sums and certain of their applications

pp 92-122

On the calculation of regulators and class numbers of quadratic fields

pp 123-150

Petits discriminants des corps de nombres

pp 151-193

Stickelberger relations in class groups and Galois module structure

pp 194-201

Uniform distribution of sequences of integers

pp 202-210

Diophantine equations with parameters

pp 211-217

Galois module structure of rings of integers

pp 218-225

SPLINTER GROUP SPEAKERS

On the fractional parts of αn3, βn2 and ʏn

pp 226-231

Irregularities of point distribution in unit cubes

pp 232-236

The Hasse principle for pairs of quadratic forms

pp 237-246

Algorithme d'approximation Diophantienne

pp 247-254

On the group PSL2(Z[i])

pp 255-283

Suites à faible discrepance en dimension s

pp 284-290

Canonical divisibilities of values of p-adic L-functions

pp 291-299

Minimal additive bases and related problems

pp 300-305

Mean values for Fourier coefficients of cusp forms and sums of Kloosterman sums

pp 306-321

Non-standard methods in Diophantine geometry

pp 322-342

An adelic proof of the Hardy-Littlewood theorem on Waring's problem

pp 343-349

Class numbers of real Abelian number fields of small conductor

pp 350-359

Algebraic independence properties of values of elliptic functions

pp 360-363