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Mathematical Essays in honor of Gian-Carlo Rota

  • Book
  • © 1998

Overview

Editors:
  1. Bruce E. Sagan

    1. Department of Mathematics, Michigan State University, East Lansing, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Richard P. Stanley

    1. Department of Mathematics, MIT, Cambridge, USA

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Progress in Mathematics (PM, volume 161)

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Table of contents (23 chapters)

  1. Front Matter

    Pages i-xiii
    Download chapter PDF

  2. MacMahon’s Partition Analysis: I. The Lecture Hall Partition Theorem

    • George E. Andrews
    Pages 1-22

  3. The cd-Index of Zonotopes and Arrangements

    • Louis J. Billera, Richard Ehrenborg, Margaret Readdy
    Pages 23-40

  4. Letter-Place Methods and Homotopy

    • David A. Buchsbaum
    Pages 41-62

  5. Classification of Trivectors in 6-D Space

    • Wendy Chan
    Pages 63-110

  6. Parameter Augmentation for Basic Hypergeometric Series, I

    • William Y. C. Chen, Zhi-Guo Liu
    Pages 111-129

  7. Unities and Negation

    • Henry Crapo, Claude Le Conte de Poly-Barbut
    Pages 131-155

  8. The Would-Be Method of Targeted Rings

    • Ottavio M. D’Antona
    Pages 157-172

  9. Lattice Walks and Primary Decomposition

    • Persi Diaconis, David Eisenbud, Bernd Sturmfels
    Pages 173-193

  10. Natural Exponential Families and Umbral Calculus

    • A. di Bucchianico, D. E. Loeb
    Pages 195-211

  11. Umbral Calculus in Hilbert Space

    • Alessandro di Bucchianico, Daniel E. Loeb, Gian-Carlo Rota
    Pages 213-238

  12. A Strategy for Determining Polynomial Orthogonality

    • J. M. Freeman
    Pages 239-244

  13. Plethystic Formulas and Positivity for q,t-Kostka Coefficients

    • A. M. Garsia, J. Remmel
    Pages 245-262

  14. An Alternative Evaluation of the Andrews-Burge Determinant

    • C. Krattenthaler
    Pages 263-270

  15. The Number of Points in a Combinatorial Geometry with No 8-Point-Line Minors

    • Joseph E. Bonin, Joseph P. S. Kung
    Pages 271-284

  16. Umbral Shifts and Symmetric Functions of Schur Type

    • Miguel A. Méndez
    Pages 285-303

  17. An Axiomization for Cubic Algebras

    • Colin Bailey, Joseph Oliveira
    Pages 305-334

  18. An Elementary Proof of Roichman’s Rule for Irreducible Characters of Iwahori-Hecke Algebras of Type A

    • Arun Ram
    Pages 335-342

  19. Universal Constructions in Umbral Calculus

    • Nigel Ray
    Pages 343-357

  20. Hyperplane Arrangements, Parking Functions and Tree Inversions

    • Richard P. Stanley
    Pages 359-375
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Keywords

About this book

In April of 1996 an array of mathematicians converged on Cambridge, Massachusetts, for the Rotafest and Umbral Calculus Workshop, two con­ ferences celebrating Gian-Carlo Rota's 64th birthday. It seemed appropriate when feting one of the world's great combinatorialists to have the anniversary be a power of 2 rather than the more mundane 65. The over seventy-five par­ ticipants included Rota's doctoral students, coauthors, and other colleagues from more than a dozen countries. As a further testament to the breadth and depth of his influence, the lectures ranged over a wide variety of topics from invariant theory to algebraic topology. This volume is a collection of articles written in Rota's honor. Some of them were presented at the Rotafest and Umbral Workshop while others were written especially for this Festschrift. We will say a little about each paper and point out how they are connected with the mathematical contributions of Rota himself.

Editors and Affiliations

  • Department of Mathematics, Michigan State University, East Lansing, USA

    Bruce E. Sagan

  • Department of Mathematics, MIT, Cambridge, USA

    Richard P. Stanley

Bibliographic Information

  • Book Title: Mathematical Essays in honor of Gian-Carlo Rota

  • Editors: Bruce E. Sagan, Richard P. Stanley

  • Series Title: Progress in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-4108-9

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser 1998

  • Hardcover ISBN: 978-0-8176-3872-6Published: 01 May 1998

  • Softcover ISBN: 978-1-4612-8656-1Published: 26 September 2011

  • eBook ISBN: 978-1-4612-4108-9Published: 06 December 2012

  • Series ISSN: 0743-1643

  • Series E-ISSN: 2296-505X

  • Edition Number: 1

  • Number of Pages: XIV, 466

  • Topics: Combinatorics

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