1. Abelian functions and transcendence D. Bertrand; 2. Measures of irrationality, transcendence and algebraic independence: recent progress G. V. Chudnovsky; 3. The Riemann zeta-function D. R. Heath-Brown; 4. On exponential sums and certain of their applications C. Hooley; 5. On the calculation of regulators and class numbers of quadratic fields H. W. Lenstra Jnr.; 6. Petits discriminants des corps de nombres Jaques Martinet; 7. Stickelberger relations in class groups and Galois module structure Leon R. McCulloh; 8. Uniform distribution of sequences of integers W. Narkiewicz; 9. Diophantine equations with parameters A. Schinzel; 10. Galois module structure of rings of integers M. J. Taylor; 11. On the fractional parts of αn3, βn2 and γn R. C. Baker; 12. Irregularities of point distribution in unit cubes W. W. L. Chen; 13. The Hasse principle for pairs of quadratic forms C. F. Coray; 14. Algorithms d'approximation Diophantienne Eugene Dubois; 15. On the group PSL2(Z[i]) J. Elstroot, F. Grunewald and J. Mennicke; 16. Suites a faible discrepance en dimension s H. Faure; 17. Canonical divisibilities of values of p-adic L-functions Georges Gras; 18. Minimal related bases and related problems George P. Grekos; 19. Mean values for Fourier coefficients of cusp forms and sums of Kloosterman sums Henryk Iwaniec; 20. Non-standard methods in Diophantine geometry Ernst Kani; 21. An adelic proof of the Hardy-Littlewood theorem on Waring's problem Gilles Lachaud; 22. Class numbers of real Abelian number fields of small conduct F. J. Van Der Linden; 23. Algebraic independence properties of values of elliptic functions D. W. Masser and G. Wustholz; 24. Estimation elementaires effectives sur les nombres algebriques Maurice Mignotte; 25. Continued fractions and related algorithms G. J. Rieger; 26. Iwasawa theory and elliptic curves: supersingular primes Karl Rubin; 27. On relations between Gauss sums and cyclotomic units C. G. Schmidt; 28. Sur la proximite des diviseurs Gerald Tenenbaum