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Q-Series and Partitions

The IMA Volumes in Mathematics and its Applications v.18

Edited by Dennis W. Stanton
Format: Hardback
Publisher: Springer-Verlag New York Inc., New York, NY, United States
Published: 18th Sep 1989
ISBN-10: 038797086X
ISBN-13: 9780387970868
Barcode No: 9780387970868
This volume contains the proceedings of the workshop held for the Applied Combinatorics program in March, 1988. The central idea of the workshop is the recent interplay of the classical analysis of q-series, and the combinatorial analysis of partitions of intergers. Many related topics are discussed, including orthogonal polynomials, the Macdonald conjectures for root systems, and related integrals. Those people interested in combinatorial enumeration and special functions will find this volume of interest. Recent applications of q-series (and related functions) to exactly solvable statistical mechanics models and to statistics makes this volume of interest to non-specialists. Included are several expository papers, and a series of papers on new work on the unimodality of the q-binomial coefficient.

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