02830nam 2200601 450 991080618960332120170821171900.01-4704-0131-2(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),1958-1632504MiAaPQMiAaPQMiAaPQBOOK9910806189603321The major counting of nonintersecting lattice paths and generating functions for tableaux4058326UNINA00940nam0-2200253 --450 991086358950332120240624105704.020240624d1962----kmuy0itay5050 bafreengCHa 001yy<<La >>fumure potassique dans les conditions méditérranéennescomptes rendus du 7e congrès de l'Institut international de la potasse, Athènes 196217 rapports présentés au cours de cinq séances de travailBerneInstitut international de la Potasse1962632 p.ill.23 cmPotassioUtilizzo631.8319itaInstitut international de la Potasse<Berne>ITUNINAREICATUNIMARCBK9910863589503321A MIC 22939219/2024FAGBCFAGBCFumure potassique dans les conditions méditérranéennes4169508UNINA