1.

Record Nr.

UNINA9910788613503321

Autore

Stanley Richard P. <1944->

Titolo

Ordered structures and partitions / / by Richard P. Stanley

Pubbl/distr/stampa

Providence : , : American Mathematical Society, , 1972

ISBN

0-8218-9916-3

Descrizione fisica

1 online resource (114 p.)

Collana

Memoirs of the American Mathematical Society ; ; number 119

Disciplina

511/.6

Soggetti

Combinatorial analysis

Partitions (Mathematics)

Euler's numbers

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

A revision of the author's thesis, Harvard.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""TABLE OF CONTENTS""; ""CHAPTER I. (P,Ï?m)-PARTITIONS""; ""1. Introduction""; ""2. Basic definitions""; ""3. Generating functions for (P,Ï?m)-partitions""; ""4. Distributive lattices""; ""5. The form of the generating functions""; ""6. The theory of w-separators""; ""7. Generating functions in terms of ^-separators .""; ""8. The polynomials W[sub(s)] (P,Ï?)""; ""9. The numbers α(P,Ï?S) and B(P,Ï?S)""; ""10. The reciprocity theorem""; ""11. An application to r-dimensional partitions""; ""12. Operations on ordered sets""; ""13. The order polynomial and (P ,Ï?)-Eulerian numbers""