Advances in Combinatorics, 1st Edition

  • Published By:
  • ISBN-10: 3642309798
  • ISBN-13: 9783642309793
  • DDC: 511.6
  • Grade Level Range: College Freshman - College Senior
  • 293 Pages | eBook
  • Original Copyright 2013 | Published/Released June 2014
  • This publication's content originally published in print form: 2013

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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.

Table of Contents

Front Cover.
Half Title Page.
Title Page.
Copyright Page.
A Tribute to Herb Wilf.
1: Glaisher's Formulas for 1/π2 and Some Generalizations.
2: Complementary Bell Numbers: Arithmetical Properties and Wilf's Conjecture.
3: Partitions with Early Conditions.
4: Hypergeometric Identities Associated with Statistics on Words.
5: Stationary Distribution and Eigenvalues for a de Bruijn Process.
6: Automatic Generation of Theorems and Proofs on Enumerating Consecutive-Wilf Classes.
7: Watson–Like Formulae for Terminating 3F2-Series.
8: Balls in Boxes: Variations on a Theme of Warren Ewens and Herbert Wilf.
9: Beating Your Fractional Beatty Game Opponent and: What's the Question to Your Answer?.
10: WZ-Proofs of “Divergent” Ramanujan-Type Series.
11: Smallest Parts in Compositions.
12: Cyclic Sieving for Generalised Non-crossing Partitions Associated with Complex Reflection Groups of Exceptional Type.
13: Set Partitions with No m-Nesting.
14: The Distribution of Zeros of the Derivative of a Random Polynomial.
15: On the Distribution of Small Denominators in the Farey Series of Order N.
16: Lost in Translation.