Number Theory and Discrete Mathematics

By: A.K. Agarwal (Editor), Bruce C. Berndt (Editor), Christian F. Krattenthaler (Editor)

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Hardcover | 1 August 2002

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332 Pages

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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.

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List of Participants
Preface
Multiple Polylogarithms: An Introduction	p. 1
A (Conjectural) 1/3-phenomenon for the Number of Rhombus Tilings of a Hexagon which contain a Fixed Rhombus	p. 13
The Influence of Carr's Synopsis on Ramanujan	p. 31
A Bailey Lemma from the Quintuple Product	p. 37
Little Flowers to G. H. Hardy (07-02-1877-01-12-1947)	p. 47
Rogers-Ramanujan Type Identities for Burge's Restricted Partition Pairs Via Restricted Frobenius Partitions	p. 53
On q-additive and q-multiplicative Functions	p. 61
Antimagic Labeling of Complete m-ary Trees	p. 77
Some Recent Advances on Symmetric, Quasi-Symmetric and Quasi-Multiple Designs	p. 81
On T-core Partitions and Quadratic Forms	p. 89
Observations on Some Algebraic Equations Associated with Ramanujan's Work	p. 101
On Rapidly Convergent Series for Dirichlet L-function Values Via the Modular Relation	p. 113
On a Conjecture of Andrews-II	p. 135
Integrity of P[subscript 2] x P[subscript n]	p. 149
A Note on Cordial Labelings of Multiple Shells	p. 157
A Report on Additive Complements of the Squares	p. 161
Transcendental Infinite Sums and Some Related Questions	p. 169
The Lehmer Problem on the Euler Totient: A Pendora's Box of Unsolvable Problems	p. 179
The Problems Solved by Ramanujan in the Journal of the Indian Mathematical Society	p. 189
On the gcd and Icm of Matrices Over Dedekind Domains	p. 201
The Billiard Ball Motion Problem I: A Markoff Type Chain for the Octahedron in R[superscript 3]	p. 213
Hilbert's Seventeenth Problem and Pfister's Work on Quadratic Forms	p. 225
Certain Representations of Mock-Theta Functions	p. 231
Bi-Graceful Graphs	p. 243
Wheels, Cages and Cubes	p. 251
Relevance of Srinivasa Ramanujan at the Dawn of the New Millennium	p. 261
Number of Solutions of Equations over Finite Fields and a Conjecture of Lang and Weil	p. 269
On An Additive Question	p. 293
n-Colour Partitions	p. 301
Table of Contents provided by Blackwell. All Rights Reserved.

Number Theory and Discrete Mathematics

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Hardcover

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