Number Theory, Madras 1987: Proceedings of the International Ramanujan Centenary Conference, held at Anna University, Madras, India, December 21, 1987

ISBN-13: 9783540515951 / Angielski / Miękka / 1989 / 236 str.

Krishnaswami Alladi

Opis

Springer Book Archives

Spis treści

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.