Number Theory, Madras 1987: Proceedings of the International Ramanujan Centenary Conference, Held at Anna University, Madras, India, Dec. 21, 1987 |
Contents
P ERDŐS Ramanujan and I 1 | 21 |
G E ANDREWS An Identity of Sylvester and the Rogers | 64 |
R ASKEY Beta Integrals and the Associated Orthogonal | 84 |
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7-polynomial additive functions Alladi Amer analytic arithmetical functions Askey asymptotic estimate asymptotic formula basic hypergeometric series beta integral combinatorial complete congruent continued fraction Corollary define denote distribution divisors eigenform Entry equation Erdös Erdös-Kac Theorem error term Euler's example F₁(T G. H. Hardy G.E. Andrews given Hahn polynomials Hardy and Ramanujan Hence highly composite highly composite numbers holomorphic hypergeometric series induction integers integrand j'th Kubilius lattice paths Lemma loglog London Math m-products Mathematics meromorphic method modulo number of prime obtain orthogonal polynomials orthogonality relation paper parameters peak positive integer prime factors Prime Number Theorem Probabilistic Number Theory Proc proved q-extension r₁ result Rogers-Ramanujan identities satisfying Selberg showed sieve square-free Srinivasa Ramanujan strongly additive successive ranks summation Suryanarayana T₂ theory of partitions Turán values Σπ