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UNINA9910480329903321 |
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Autore |
Krattenthaler C (Christian), <1958-> |
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Titolo |
The major counting of nonintersecting lattice paths and generating functions for tableaux / / C. Krattenthaler |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 1995 |
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©1995 |
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ISBN |
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Descrizione fisica |
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1 online resource (122 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Number 552 |
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Disciplina |
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Soggetti |
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Generating functions |
Lattice paths |
Young tableaux |
Hypergeometric series |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"May 1995, Volume 115, Number 552 (fourth of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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"" |
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