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This volume contains the proceedings of the International Conference on Number Theory and Discrete Mathematics in honour of Srinivasa Ramanujan, held at the Centre for Advanced Study in Mathematics, Panjab University, Chandigarh, India, in October 2000, as a contribution to the International Year of Mathematics. It collects 29 articles written by some of the leading specialists worldwide. Most of the papers provide recent trends, problems and their current states as well as historical backgrounds of their subjects. Some contributions are related to Ramanujan's mathematics, which should stimulate the interest in his work.
List of Participants
Multiple Polylogarithms: An Introduction
A (Conjectural) 1/3-phenomenon for the Number of Rhombus Tilings of a Hexagon which contain a Fixed Rhombus
The Influence of Carr's Synopsis on Ramanujan
A Bailey Lemma from the Quintuple Product
Little Flowers to G. H. Hardy (07-02-1877-01-12-1947)
Rogers-Ramanujan Type Identities for Burge's Restricted Partition Pairs Via Restricted Frobenius Partitions
On q-additive and q-multiplicative Functions
Antimagic Labeling of Complete m-ary Trees
Some Recent Advances on Symmetric, Quasi-Symmetric and Quasi-Multiple Designs
On T-core Partitions and Quadratic Forms
Observations on Some Algebraic Equations Associated with Ramanujan's Work
On Rapidly Convergent Series for Dirichlet L-function Values Via the Modular Relation
On a Conjecture of Andrews-II
Integrity of P2 x Pn
A Note on Cordial Labelings of Multiple Shells
A Report on Additive Complements of the Squares
Transcendental Infinite Sums and Some Related Questions
The Lehmer Problem on the Euler Totient: A Pendora's Box of Unsolvable Problems
The Problems Solved by Ramanujan in the Journal of the Indian Mathematical Society
On the gcd and Icm of Matrices Over Dedekind Domains
The Billiard Ball Motion Problem I: A Markoff Type Chain for the Octahedron in R3
Hilbert's Seventeenth Problem and Pfister's Work on Quadratic Forms
Certain Representations of Mock-Theta Functions
Bi-Graceful Graphs
Wheels, Cages and Cubes
Relevance of Srinivasa Ramanujan at the Dawn of the New Millennium
Number of Solutions of Equations over Finite Fields and a Conjecture of Lang and Weil
On An Additive Question
n-Colour Partitions