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The Major Counting of Nonintersecting Lattice Paths and Generating Functions for Tableaux : Memoirs of the American Mathematical Society - C Krattenthaler

The Major Counting of Nonintersecting Lattice Paths and Generating Functions for Tableaux

Memoirs of the American Mathematical Society

Paperback Published: January 1995
ISBN: 9780821826133
Number Of Pages: 109

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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.

Introduction
Definitions and preliminaries
Counting by major index
Counting by strange major index
Detailed proofs and auxiliary results
References
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780821826133
ISBN-10: 0821826131
Series: Memoirs of the American Mathematical Society
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 109
Published: January 1995
Publisher: American Mathematical Society
Country of Publication: US
Dimensions (cm): 25.4 x 18.42  x 1.27
Weight (kg): 0.23

Earn 139 Qantas Points
on this Book