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

Paul Erdös (auth.), Krishnaswami Alladi (eds.)9780387515953, 0-387-51595-X

Table of contents :
Ramanujan and I….Pages 1-17
Appendix: On composite numbers….Pages 18-20
The distribution of additive functions in special sets of integers….Pages 21-63
An identity of sylvester and the rogers-ramanujan identities….Pages 64-72
Variations on the Rogers-Ramanujan continued fraction in Ramanujan’s notebooks….Pages 73-83
Beta integrals and the associated orthogonal polynomials….Pages 84-121
Ramanujan and the theory of prime numbers….Pages 122-139
Lattice paths and the Rogers-Ramanujan identities….Pages 140-172
Multiplicative properties of η -products….Pages 173-200
Some asymptotic formulae involving powers of arithmetic functions….Pages 201-234