3 citations · 3 across the 2 of their papers we have counts for
4 papers · 1 filter
On the Number of Distinct Multinomial Coefficients
George E. Andrews, Arnold Knopfmacher, Burkhard Zimmermann
We study M(n), the number of distinct values taken by multinomial coefficients with upper entry n, and some closely related sequences. We show that both pP(n)/M(n) and M(n)/p(n) te…
The WP - Bailey Tree and its Implications
George E. Andrews, Alexander Berkovich
Our object is a thorough analysis of the WP-Bailey tree, a recent extension of classical Bailey chains. We begin by observing how the WP-Bailey tree naturally entails a finite numb…
A new partition identity coming from complex dynamics
George E. Andrews, Rodrigo Alonso Perez
We present a new identity involving compositions (i.e. ordered partitions of natural numbers). The Formula has its origin in complex dynamical systems and appears when counting, in…
A four parameter generalization of Gollnitz's (BIG) partition theorem
Krishnaswami Alladi, George E. Andrews, Alexander Berkovich
We announce a new four parameter partition theorem from which the (big) theorem of Gollnitz follows by setting any one of the parameters equal to 0. This settles a problem of Andre…