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Advances in Combinatorics

Waterloo Workshop in Computer Algebra, W80, May 26-29, 2011

  • Conference proceedings
  • © 2013

Overview

Editors:
  1. Ilias S. Kotsireas

    1. Wilfrid Laurier University Dept. of Physics and Computer Science, Waterloo, Canada

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  2. Eugene V. Zima

    1. Wilfrid Laurier University Dept. Physics & Computer Science, Waterloo, Canada

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    You can also search for this editor in PubMed   Google Scholar

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Table of contents (16 papers)

  1. Front Matter

    Pages i-xx
    Download chapter PDF

  2. Glaisher’s Formulas for \({\frac{1} {{\pi }^{2}}}\) and Some Generalizations

    • Gert Almkvist
    Pages 1-21

  3. Complementary Bell Numbers: Arithmetical Properties and Wilf’s Conjecture

    • Tewodros Amdeberhan, Valerio De Angelis, Victor H. Moll
    Pages 23-56

  4. Partitions with Early Conditions

    • George E. Andrews
    Pages 57-76

  5. Hypergeometric Identities Associated with Statistics on Words

    • George E. Andrews, Carla D. Savage, Herbert S. Wilf
    Pages 77-100

  6. Stationary Distribution and Eigenvalues for a de Bruijn Process

    • Arvind Ayyer, Volker Strehl
    Pages 101-120

  7. Automatic Generation of Theorems and Proofs on Enumerating Consecutive-Wilf Classes

    • Andrew Baxter, Brian Nakamura, Doron Zeilberger
    Pages 121-138

  8. Watson–Like Formulae for Terminating 3 F 2-Series

    • Wenchang Chu, Roberta R. Zhou
    Pages 139-159

  9. Balls in Boxes: Variations on a Theme of Warren Ewens and Herbert Wilf

    • Shalosh B. Ekhad, Doron Zeilberger
    Pages 161-174

  10. Beating Your Fractional Beatty Game Opponent and: What’s the Question to Your Answer?

    • Aviezri S. Fraenkel
    Pages 175-186

  11. WZ-Proofs of “Divergent” Ramanujan-Type Series

    • Jesús Guillera
    Pages 187-195

  12. Smallest Parts in Compositions

    • Arnold Knopfmacher, Augustine O. Munagi
    Pages 197-207

  13. Cyclic Sieving for Generalised Non-crossing Partitions Associated with Complex Reflection Groups of Exceptional Type

    • Christian Krattenthaler, Thomas W. Müller
    Pages 209-247

  14. Set Partitions with No m-Nesting

    • Marni Mishna, Lily Yen
    Pages 249-258

  15. The Distribution of Zeros of the Derivative of a Random Polynomial

    • Robin Pemantle, Igor Rivin
    Pages 259-273

  16. On the Distribution of Small Denominators in the Farey Series of Order N

    • C. L. Stewart
    Pages 275-286

  17. Lost in Translation

    • Wadim Zudilin
    Pages 287-293
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Keywords

About this book

This volume, as Andrew M. Odlzyko writes in the foreword, “commemorates and celebrates the life and achievements of an extraordinary person.” Originally conceived as an 80th birthday tribute to Herbert Wilf, the well-known combinatorialist, the book has evolved beyond the proceeds of the W80 tribute.

Professor Wilf was an award-winning teacher, who was supportive of women mathematicians, and who had an unusually high proportion of women among his PhD candidates. He was Editor-in-chief of the American Mathematical Monthly and a founder of both the Journal of Algorithms and of the Electronic Journal of Combinatorics. But he was first a researcher, driven by his desire to know and explain the inner workings of the mathematical world.

The book collects high-quality, refereed research contributions by some of Professor Wilf’s colleagues, students, and collaborators. Many of the papers presented here were featured in the Third Waterloo Workshop on Computer Algebra (WWCA 2011, W80), held May 26-29, 2011 at Wilfrid Laurier University, Waterloo, Canada. Others were included because of their relationship to his important work in combinatorics. All are presented as a tribute to Herb Wilf’s contributions to mathematics and mathematical life.

Editors and Affiliations

  • Wilfrid Laurier University Dept. of Physics and Computer Science, Waterloo, Canada

    Ilias S. Kotsireas

  • Wilfrid Laurier University Dept. Physics & Computer Science, Waterloo, Canada

    Eugene V. Zima

Bibliographic Information

  • Book Title: Advances in Combinatorics

  • Book Subtitle: Waterloo Workshop in Computer Algebra, W80, May 26-29, 2011

  • Editors: Ilias S. Kotsireas, Eugene V. Zima

  • DOI: https://doi.org/10.1007/978-3-642-30979-3

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2013

  • Hardcover ISBN: 978-3-642-30978-6Published: 15 August 2013

  • Softcover ISBN: 978-3-642-43175-3Published: 27 August 2015

  • eBook ISBN: 978-3-642-30979-3Published: 04 August 2013

  • Edition Number: 1

  • Number of Pages: XX, 293

  • Topics: Combinatorics, Number Theory, Computational Mathematics and Numerical Analysis

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