Number Theory

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.