02830nam 2200601 450 991078875750332120170821171900.01-4704-0131-2(CKB)3360000000464736(EBL)3113965(SSID)ssj0000889049(PQKBManifestationID)11525294(PQKBTitleCode)TC0000889049(PQKBWorkID)10874646(PQKB)10429320(MiAaPQ)EBC3113965(RPAM)1141801(PPN)195414357(EXLCZ)99336000000046473620140909h19951995 uy 0engur|n|---|||||txtccrThe major counting of nonintersecting lattice paths and generating functions for tableaux /C. KrattenthalerProvidence, Rhode Island :American Mathematical Society,1995.©19951 online resource (122 p.)Memoirs of the American Mathematical Society,0065-9266 ;Number 552"May 1995, Volume 115, Number 552 (fourth of 5 numbers)."0-8218-2613-1 Includes bibliographical references.""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""Memoirs of the American Mathematical Society ;Number 552.Generating functionsLattice pathsYoung tableauxHypergeometric seriesGenerating functions.Lattice paths.Young tableaux.Hypergeometric series.511/.62Krattenthaler C(Christian),1958-1521093MiAaPQMiAaPQMiAaPQBOOK9910788757503321The major counting of nonintersecting lattice paths and generating functions for tableaux3759996UNINA