Number Theory: A Seminar held at the Graduate School and University Center of the City University of New York 1982 (Lecture Notes in Mathematics)

This is the third Lecture Notes volume to be produced in the framework of the New York Number Theory Seminar. The papers contained here are mainly research papers. N Moments of additive functions and sieve methods....Pages 1-25 Heuristics on class groups....Pages 26-36 Padé and rational approximations to systems of functions and their arithmetic applications....Pages 37-84 Padé approximations to solutions of linear differential equations and applications to diophantine analysis....Pages 85-167 p-adic gamma functions and their applications....Pages 168-175 New algorithms for computing π ( x )....Pages 176-193 Standard modules for type one affine lie algebras....Pages 194-251 Some problems of effectivity in arithmetic, geometry and analysis....Pages 252-272 The exact order of subsets of additive bases....Pages 273-277 Effective bounds on the diophantine approximation of algebraic functions, and nevanlinna theory....Pages 278-285 Additive number theory and maass forms....Pages 286-309