Journées Arithmétiques 1980 (London Mathematical Society Lecture Note Series, Series Number 56)

For A Number Of Years, French Mathematicians Have Run Regular Number Theory Conferences To Which They Have Invited Number Theorists From Many Countries. To Repay Their Hospitality, The London Mathematical Society Arranged For The 1980 'journees Arithmeiques' To Be Held In Exeter. The Papers Published Here Are Either Based On The Main Invited Lectures Or On Selected Research Talks Given At The Conference. They Cover All Branches Of The Subject: Combinatorial And Elementary Methods; Analytic Number Theory; Transcendence Theory; Galois Module Theory And Algebraic Number Theory In General; Elliptic Curves And Modular Functions; Local Fields; Additive Number Theory; Diophantine Geometry, And Uniform Distribution. It Will Be Necessary Reading For All Those Undertaking Research In Number Theory. Edited By J.v. Armitage. English Or French. CONTENTS......Page 6 PREFACE......Page 8 ADDRESSES OF CONTRIBUTORS......Page 10 PARTICIPANTS......Page 12 Abelian functions and transcendence......Page 18 Measures of irrationality, transcendence and algebraic independence: recent progress......Page 28 The Riemann zeta-function......Page 100 On exponential sums and certain of their applications......Page 109 On the calculation of regulators and class numbers of quadraticfields......Page 140 Petits discriminants des corps de nombres......Page 168 Uniform distribution of sequences of integers......Page 219 Diophantine equations with parameters......Page 228 Galois module structure of rings of integers......Page 235 On the fractional parts of an3, $n and yn......Page 243 Irregularities of point distribution in unit cubes......Page 249 The Hasse principle for pairs of quadratic forms......Page 254 Algorithme d'approximation Diophantienne......Page 264 On the group PSL2(ZCi])......Page 272 Suites a" faible discrepance en dimension s......Page 301 Canonical divisibilities of values of p-adic L-functions......Page 308 Minimal related bases and related problems......Page 317