Ramanujan and I.- Appendix: On composite numbers.- The distribution of additive functions in special sets of integers.- An identity of sylvester and the rogers-ramanujan identities.- Variations on the Rogers-Ramanujan continued fraction in Ramanujan's notebooks.- Beta integrals and the associated orthogonal polynomials.- Ramanujan and the theory of prime numbers.- Lattice paths and the Rogers-Ramanujan identities.- Multiplicative properties of ?-products.- Some asymptotic formulae involving powers of arithmetic functions.