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

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

K. Alladi (ed.)

(Lecture notes in mathematics, 1395)

Springer-Verlag, c1989

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Includes bibliographical references

Description and Table of Contents

Table of Contents

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.

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