The Andrews Festschrift : Seventeen Papers on Classical Number Theory and Combinatorics /

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 Sminaire Lotharingien de Combi...

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Bibliographic Details
Main Author: Foata, Dominique
Other Authors: Han, Guo-Niu
Format: Book
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint : Springer, 2001
Subjects:
Table of Contents:
  • Some Debts I Owe
  • The Work of George Andrews: A Madison Perspective
  • Ramanujan's Unpublished Manuscript on the Partition and Tau Functions with Proofs and Commentary
  • A q-product Tutorial for a q-series Maple Package
  • Un autre q-analogue des nombres d'Euler
  • Three Classical Results on Representations of a Number
  • Simultaneous maj Statistics
  • An Extension of Franklin's Bijection
  • MacMahon's Partition Analysis IV: Hypergeometric Multisums
  • Various Representations of the Generalized Kostka Polynomials
  • The Number- Theoretic Content of the Jacobi Triple Product Identity
  • Words and Repeated Factors
  • Explicit Plethystic Formulas for Macdonald q, t-Kostka Coefficients
  • Supernomial Coefficients, Bailey's Lemma and Rogers-Ramanujan-type Identities. A Survey of Results and Open Problems
  • The Triple, Quintuple and Septuple Product Identities Revisited
  • Square-Ice Enumeration
  • Advanced Determinant Calculus