The major counting of nonintersecting lattice paths and generating functions for tableaux
著者
書誌事項
The major counting of nonintersecting lattice paths and generating functions for tableaux
（Memoirs of the American Mathematical Society, no. 552）
American Mathematical Society, 1995
大学図書館所蔵 全19件
注記
"May 1995, volume 115, number 552 (fourth of 5 numbers)"
Includes bibliographical references (p. 108-109)
内容説明・目次
内容説明
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 Bender-Knuth 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.
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