LEADER 02833nam 2200601 450 001 9910480329903321 005 20170821171900.0 010 $a1-4704-0131-2 035 $a(CKB)3360000000464736 035 $a(EBL)3113965 035 $a(SSID)ssj0000889049 035 $a(PQKBManifestationID)11525294 035 $a(PQKBTitleCode)TC0000889049 035 $a(PQKBWorkID)10874646 035 $a(PQKB)10429320 035 $a(MiAaPQ)EBC3113965 035 $a(PPN)195414357 035 $a(EXLCZ)993360000000464736 100 $a20140909h19951995 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe major counting of nonintersecting lattice paths and generating functions for tableaux /$fC. Krattenthaler 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1995. 210 4$dİ1995 215 $a1 online resource (122 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vNumber 552 300 $a"May 1995, Volume 115, Number 552 (fourth of 5 numbers)." 311 $a0-8218-2613-1 320 $aIncludes bibliographical references. 327 $a""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"" 327 $a""5.1 The major index and strange major index generating functions for lattice paths without restrictions""""5.2 A correspondence for lattice paths that cross the line x = y""; ""5.3 A correspondence for pairs of intersecting lattice paths""; ""5.4 Correspondences between tableaux and nonintersecting lattice paths""; ""5.5 A determinant lemma""; ""5.6 A multiple basic hypergeometric summation""; ""References"" 410 0$aMemoirs of the American Mathematical Society ;$vNumber 552. 606 $aGenerating functions 606 $aLattice paths 606 $aYoung tableaux 606 $aHypergeometric series 608 $aElectronic books. 615 0$aGenerating functions. 615 0$aLattice paths. 615 0$aYoung tableaux. 615 0$aHypergeometric series. 676 $a511/.62 700 $aKrattenthaler$b C$g(Christian),$f1958-$0890452 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480329903321 996 $aThe major counting of nonintersecting lattice paths and generating functions for tableaux$91989089 997 $aUNINA