Advances in Combinatorics (eBook)

Foreword by Andrew M. Odlyzko.- Glaisher’s formulas for 1/p2 and some generalizations: Gert Almkvist.- Complementary Bell numbers: Arithmetical properties and Wilf’s conjecture: Tewodros Amdeberhan and Valerio De Angelis and Victor H. Moll.- Partitions With Early Conditions: George E. Andrews.- Hypergeometric identities associated with statistics on words: George E. Andrews, Carla D. Savage, and Herbert S. Wilf.- Stationary Distribution and Eigenvalues for a de Bruijn Process: Arvind Ayyer and Volker Strehl.- Automatic Generation of Theorems and Proofs on Enumerating Consecutive-Wilf Classes: Andrew Baxter, Brian Nakamura, and Doron Zeilberger.- Watson–Like Formulae for Terminating 3F2-Series: Wenchang Chu and Roberta R. Zhou.- Balls in Boxes: Variations on a Theme of Warren Ewens and Herbert Wilf: Shalosh B. Ekhad and Doron Zeilberger.- Beating Your Fractional Beatty Game Opponent and: What’s the Question to Your Answer? Aviezri S. Fraenkel.- WZ-proofs of “divergent” Ramanujan-type series: Jesús Guillera.- Smallest parts in compositions: Arnold Knopfmacher and Augustine O. Munagi.- Cyclic Sieving for Generalised Non-Crossing Partitions Associated with Complex Reflection Groups of Exceptional Type: Christian Krattenthaler and ThomasW. M¨ uller.- Set partitions with no m-nesting: Marni Mishna and Lily Yen.- The distribution of zeros of the derivative of a random polynomial: Robin Pemantle and Igor Rivin.- On the distribution of small denominators in the Farey series of order N: C.L. Stewart.- Lost in translation: Wadim Zudilin.​