The Andrews Festschrift

This volume contains the scientific contributions that old friends, colleagues, admirers, former students have made to George Andrews on the occasion of his sixtieth birthday: seventeen papers ranging from Classical Number Theory (the theory of partitions dear to George Andrews) to Classical and Algebraic Combinatorics. Most of the papers were read at the 42-nd session of the Seminaire Lotharingien de Combinatoire that took place at Maratea, Basilicata, from August 31 to September 6. 1998. The meeting was made possible thanks to the financial support of the Regione Basilicata and the dipartimento di Matematica, Universita degli Studi della Basilicata and was organized by our colleagues from Potenza, Domenico Senato, Elvira Di Nardo and Paolo Vitolo. We are most thankful to George Andrews for his original paper in which he describes how several great mathematicians, dead or living, have influenced his mathematical career. The second paper could only have been written by his good friend, Richard Askey, who appears to be. in Doron Zeilberger's inimitable language, the "guru" of special functions, George himself being the "q-guru"! Richard very convincingly explains how the year that George spent at Madison in 1975-76 was decisive for them both. There is no better homage to George and his familiarity with Ramanujan's works than this long memoir by Bruce C. Berndt and Ken Ono on Ramanujan's Unpublished Manuscript and the Tau Functions. Bruce has spent a great part of his career deciphering the manuscripts of the great Indian number theorist.

Top research in number theory

Includes supplementary material: sn.pub/extras

Contenu
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Some Debts I Owe Richard Askey The Work of George Andrews: A Madison Perspective Bruce C. Berndt, Ken Ono Ramanujans Unpublished Manuscript on the Partition and Tau Functions with Proofs and Commentary Frank Garvan Qseries maple tutorial: A q-product tutorial for a q-series maple package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 dÉuler Michael D. Hirschhorn Three classical results on representations of a number Dongsu Kim, Dennis Stanton Simultaneous maj statistics David P. Little An extension of Franklins Bijection George E. Andrews, Peter Paule MacMahons 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, Baileys 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