Memoirs of the American Mathematical Society 1995; 109 pp; softcover Volume: 115 ISBN10: 0821826131 ISBN13: 9780821826133 List Price: US$41 Individual Members: US$24.60 Institutional Members: US$32.80 Order Code: MEMO/115/552
 This work develops a theory for counting nonintersecting lattice paths by the major index and generalizations of it. As applications, Krattenthaler computes certain tableaux and plane partition generating functions. In particular, he derives refinements of the BenderKnuth and McMahon conjectures, thereby giving new proofs of these conjectures. Providing refinements of famous results in plane partition theory, this work combines in an effective and nontrivial way classical tools from bijective combinatorics and the theory of special functions. Readership Researchers in enumerative and algebraic combinatorics. Table of Contents  Introduction
 Definitions and preliminaries
 Counting by major index
 Counting by strange major index
 Detailed proofs and auxiliary results
 References
