TY  - BOOK
AU  - Krattenthaler,C.
TI  - Major Counting of Nonintersecting Lattice Paths and Generating Functions for Tableaux
T2  - Memoirs of the American Mathematical Society
SN  - 9781470401313
AV  - QA164.8 -- .K738 1995eb 
U1  - 511/.62 
PY  - 1995///
CY  - Providence
PB  - American Mathematical Society
KW  - Generating functions
KW  - Lattice paths
KW  - Young tableaux
KW  - Hypergeometric series
KW  - Electronic books
N1  - Intro -- 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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113965
ER  -