20 citations · 28 across the 5 of their papers we have counts for
5 papers
The 2-adic valuation of plane partitions and totally symmetric partitions
William J. Keith
This paper confirms a conjecture of Amdeberhan and Moll that the power of 2 dividing the number of plane partitions in an n-cube is greater than the power of 2 dividing the number…
Partitions with prescribed hooksets
William J. Keith, Rishi Nath
The combinatorial properties of partitions with various restrictions on their hooksets are explored. A connection with numerical semigroups extends current results on simultaneous…
A Bijection for Partitions with Initial Repetitions
William J. Keith
A theorem of Andrews equates partitions in which no part is repeated more than 2k-1 times to partitions in which, if j appears at least k times, all parts less than j also do so. T…
Sequences of density zeta(k) - 1
William J. Keith
At a social gathering of mathematicians, Herb Wilf noted that the numbers sum to 1, and challenged the assembly to interpret the sequence as probabilities in some intere…
Distribution of the full rank in residue classes for odd moduli
William J. Keith
The distribution of values of the full ranks of marked Durfee symbols is examined in prime and nonprime arithmetic progressions. The relative populations of different residues for…