The major counting of nonintersecting lattice paths and generating functions for tableaux / / C. Krattenthaler

• Autore: Krattenthaler C (Christian), <1958->
• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , 1995; ©1995
• Descrizione fisica: 1 online resource (122 p.)
• Disciplina: 511/.62
• Soggetto topico: Generating functions; Lattice paths; Young tableaux; Hypergeometric series
• Note generali: "May 1995, Volume 115, Number 552 (fourth of 5 numbers)."
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""Contents""; ""I. Introduction""; ""II. Definitions and Preliminaries""; ""2.1 Definitions and Notation""; ""2.2 Two involutions and nonintersecting lattice paths""; ""III. Counting by Major Index""; ""3.1 Without restrictions""; ""3.2 With a diagonal boundary""; ""3.3 Tableaux generating functions""; ""IV. Counting by Strange Major Index""; ""4.1 Without restrictions""; ""4.2 With a diagonal boundary""; ""4.3 Tableaux generating functions""; ""V. Detailed Proofs and Auxiliary Results"" ; ""5.1 The major index and strange major index generating functions for lattice paths without restrictions""""5.2 A correspondence for lattice paths that cross the line x = y""; ""5.3 A correspondence for pairs of intersecting lattice paths""; ""5.4 Correspondences between tableaux and nonintersecting lattice paths""; ""5.5 A determinant lemma""; ""5.6 A multiple basic hypergeometric summation""; ""References""
• Titolo autorizzato: The major counting of nonintersecting lattice paths and generating functions for tableaux
• ISBN: 1-4704-0131-2
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910788757503321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; Number 552.