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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   $aHypergeometric series
615  0$aGenerating functions.
615  0$aLattice paths.
615  0$aYoung tableaux.
615  0$aHypergeometric series.
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