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" Mathematical Essays in honor of Gian-Carlo Rota "
edited by Bruce E. Sagan, Richard P. Stanley.
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BL
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573746
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b402965
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| Main Entry
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Sagan, Bruce E.
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| Title & Author
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Mathematical Essays in honor of Gian-Carlo Rota\ edited by Bruce E. Sagan, Richard P. Stanley.
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| Publication Statement
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Boston, MA :: Birkhäuser Boston,, 1998.
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| Series Statement
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Progress in Mathematics ;; 161
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| ISBN
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9781461241089
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: 9781461286561
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| Contents
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MacMahon's Partition Analysis: I. The Lecture Hall Partition Theorem -- The cd-Index of Zonotopes and Arrangements -- Letter-Place Methods and Homotopy -- Classification of Trivectors in 6-D Space -- Parameter Augmentation for Basic Hypergeometric Series, I -- Unities and Negation -- The Would-Be Method of Targeted Rings -- Lattice Walks and Primary Decomposition -- Natural Exponential Families and Umbral Calculus -- Umbral Calculus in Hilbert Space -- A Strategy for Determining Polynomial Orthogonality -- Plethystic Formulas and Positivity for q, t-Kostka Coefficients -- An Alternative Evaluation of the Andrews-Burge Determinant -- The Number of Points in a Combinatorial Geometry with No 8-Point-Line Minors -- Umbral Shifts and Symmetric Functions of Schur Type -- An Axiomization for Cubic Algebras -- An Elementary Proof of Roichman's Rule for Irreducible Characters of Iwahori-Hecke Algebras of Type A -- Universal Constructions in Umbral Calculus -- Hyperplane Arrangements, Parking Functions and Tree Inversions -- More Orthogonal Polynomials as Moments -- Difference Equations via the Classical Umbral Calculus -- An Analogy in Geometric Homology: Rigidity and Cofactors on Geometric Graphs -- The Umbral Calculus and Identities for Hypergeometric Functions with Special Arguments -- Apologies to T.S. Eliot: The Rota Nerds.
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| Abstract
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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.
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Mathematics.
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Combinatorics.
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Stanley, Richard P.
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SpringerLink (Online service)
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