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

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Author(s): Paul Erdös (auth.), Krishnaswami Alladi (eds.)
Series: Lecture Notes in Mathematics 1395
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1989

Language: English
Pages: 236
City: Berlin; New York
Tags: Number Theory

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