Number Theory, Madras 1987: Proceedings of the International Ramanujan Centenary Conference held at Anna University, Madras, India, Dec. 21, 1987 [1 ed.] 9780387515953, 0-387-51595-X
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English Pages 236 [246] Year 1989
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
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
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