The Major Counting of Nonintersecting Lattice Paths and Generating Functions for Thableaux.

Krattenthaler, C.:

ISBN 10: 0821826131 / ISBN 13: 9780821826133

Published by Providence, American Mathematical Society, 1995

About this Item

109 S. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. R-16123 9780821826133 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2479585

Bibliographic Details

• Title: The Major Counting of Nonintersecting Lattice Paths and Generating Functions for Thableaux.
• Publisher: Providence, American Mathematical Society
• Publication Date: 1995
• Language: English
• ISBN 10: 0821826131
• ISBN 13: 9780821826133
• Binding: Softcover
• Weight: 550 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

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.