9 citations · 10 across the 6 of their papers we have counts for
6 papers
Polynomials associated with Partitions: Polynomials associated with Partitions: Their Asymptotics and Zeros
Robert P. Boyer, William M. Y. Goh
Let be the number of partitions of an integer . For each of the partition statistics of counting their parts, ranks, or cranks, there is a natural family of integer polyno…
Partition Polynomials: Asymptotics and Zeros
Robert P. Boyer, William M. Y. Goh
Let be the partition polynomial where is the number of partitions of with parts. We emphasize the computational experiments usin…
On the Zero Attractor of the Euler Polynomials
William M. Y. Goh, Robert Boyer
We study the limiting behavior of the zeros of the Euler polynomials. When linearly scaled, they approach a definite curve in the complex plane related to the Szego curve which gov…
Iterating random functions on a finite set
W. M. Y. Goh, P. Hitczenko, E. Schmutz
Let f_1,f_2,..., be functions chosen independently and uniformly from the set of all functions from a set of cardinality n into itself. Let g_t be the composition of the first t fu…
S-partitions
William M. Y. Goh, Pawel Hitczenko, Ali Shokoufandeh
This note reports on the number of s-partitions of a natural number n. In an s-partition each cell has the form for some integer k. Such partitions have potential applicati…
Average number of distinct part sizes in a random Carlitz composition
William M. Y. Goh, Pawel Hitczenko
A composition of an integer is called Carlitz if adjacent parts are different. Several characteristics of random Carlitz compsitions have been studied recently by Knopfmacher and P…