Moments of additive functions and sieve methods -- Heuristics on class groups -- Padé and rational approximations to systems of functions and their arithmetic applications -- Padé approximations to solutions of linear differential equations and applications to diophantine analysis -- p-adic gamma functions and their applications -- New algorithms for computing ?(x) -- Standard modules for type one affine lie algebras -- Some problems of effectivity in arithmetic, geometry and analysis -- The exact order of subsets of additive bases -- Effective bounds on the diophantine approximation of algebraic functions, and nevanlinna theory -- Additive number theory and maass forms.