Topic #7 ------------- OP-SF NET 8.5 ------------ September 15, 2001 ~~~~~~~~~~~~~ From: OP-SF NET EditorSubject: George Andrews Festschrift [From the Springer web site: http://www.springer-ny.com] THE ANDREWS FESTSCHRIFT Edited by Dominique Foata Price: $84.95 400 pages paperback ISBN: 3-540-41491-6, published 2001 ABOUT THIS BOOK This book contains seventeen contributions made to George Andrews on the occasion of his sixtieth birthday, ranging from classical number theory (the theory of partitions) to classical and algebraic combinatorics. Most of the papers were read at the 42nd session of the Séminaire Lotharingien de Combinatoire that took place at Maratea, Basilicata, in August 1998. This volume contains a long memoir on Ramanujan's Unpublished Manuscript and the Tau functions studied with a contemporary eye, together with several papers dealing with the theory of partitions. There is also a description of a maple package to deal with general q-calculus. More subjects on algebraic combinatorics are developed, especially the theory of Kostka polynomials, the ice square model, the combinatorial theory of classical numbers, a new approach to determinant calculus. TABLE OF CONTENTS Dominique Foata, Guo-Niu Han: Introduction George E. Andrews: Some Debts I Owe Richard Askey: The Work of George Andrews: A Madison Perspective Bruce C. Berndt, Ken Ono: Ramanujan's Unpublished Manuscript on the Partition and Tau Functions with Proofs and Commentary Frank Garvan: Q-series maple tutorial: A q-product tutorial for a q-series maple package G.-N. Han, A. Randrianarivony, J. Zeng: Un autre q-analogue des nombres d'Euler Michael D. Hirschhorn: Three classical results on representations of a number Dongsu Kim, Dennis Stanton: Simultaneous maj statistics David P. Little: An extension of Franklin's Bijection George E. Andrews, Peter Paule: MacMahon's Partition Analysis IV: Hypergeometric Multisums Anatol N. Kirillov, Anne Schilling, Mark Shimozono: Various representations of the generalized Kostka polynomials Herbert S. Wilf: The number-theoretic content of the Jacobi triple product identity Arturo Carpi, Aldo de Luca: Words and Repeated Factors Adriano Garsia, Mark Haiman, Glenn Tesler: Explicit Plethystic Formulas for Macdonald q,t-Kostka Coefficients S. Ole Warnaar: Supernomial coefficients, Bailey's lemma and Rogers-Ramanujan-type identities. A survey of results and open problems D. Foata, G.-N. Han: The triple, quintuple and septuple product identities revisited A. Lascoux: Square-ice enumeration Christian Krattenthaler: Advanced Determinant Calculus

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