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.
Inhaltsverzeichnis
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.
