Number Theory and Discrete Mathematics : [the International Conference on Number Theory and Discrete Mathematics in honour of Srinivasa Ramanujan was held at the Centre for Advanced Study in Mathematics, Panjab University, Chandigarh, India during October

Front Matter....Pages i-xiv Multiple Polylogarithms: An Introduction....Pages 1-12 A (Conjectural) 1/3-phenomenon for the Number of Rhombus Tilings of a Hexagon which Contain a Fixed Rhombus....Pages 13-30 The Influence of Carr’s Synopsis on Ramanujan....Pages 31-35 A Bailey Lemma from the Quintuple Product....Pages 37-46 Little Flowers to G.H. Hardy (07-02-1877–01-12-1947)....Pages 47-51 Rogers-Ramanujan Type Identities for Burge’s Restricted Partition Pairs Via Restricted Frobenius Partitions....Pages 53-60 On q-additive and q-multiplicative Functions....Pages 61-76 Antimagic Labeling of Complete m-ary Trees....Pages 77-80 Some Recent Advances on Symmetric, Quasi-Symmetric and Quasi-Multiple Designs....Pages 81-88 On T-core Partitions and Quadratic Forms....Pages 89-100 Observations on Some Algebraic Equations Associated with Ramanujan’s Work....Pages 101-111 On Rapidly Convergent Series for Dirichlet L-function Values Via the Modular Relation....Pages 113-133 On a Conjecture of Andrews-II....Pages 135-147 A Note on Cordial Labelings of Multiple Shells....Pages 149-155 A Report on Additive Complements of the Squares....Pages 157-160 Transcendental Infinite Sums and Some Related Questions....Pages 161-167 The Lehmer Problem on the Euler Totient: A Pendora’s Box of Unsolvable Problems....Pages 169-178 The Problems Solved by Ramanujan in the Journal of the Indian Mathematical Society....Pages 179-187 On the gcd and lcm of Matrices Over Dedekind Domains....Pages 189-200 Hilbert’s Seventeenth Problem and Pfister’s Work on Quadratic Forms....Pages 201-211 Certain Representations of Mock-Theta Functions....Pages 213-223 Bi-Graceful Graphs....Pages 225-230 Wheels, Cages and Cubes....Pages 231-242 Relevance of Srinivasa Ramanujan at the Dawn of the New Millennium....Pages 243-249 Number of Solutions of Equations over Finite Fields and a Conjecture of Lang and Weil....Pages 251-259 On An Additive Question....Pages 261-268 n-Colour Partitions....Pages 269-291 ....Pages 293-299 Proceedings of the International Conference on Number Theory and Discrete Mathematics, held at Chandigarh during 2-6 October 2000