9 citations · 14 across the 5 of their papers we have counts for
7 papers
On the number of symmetric chain decompositions of the minuscule lattices and
Robert Dorward
We study the problem of enumerating symmetric chain decompositions (SCDs) of the minuscule lattices of partitions in an by box and of partitions into distin…
Combinatorial statistics on restricted growth functions containing a pattern exactly times
Robert Dorward
In this undergraduate thesis, we expand on the study of statistics on restricted growth functions avoiding patterns initiated by Campbell, et. al. Restricted growth functions are o…
Restricted growth function patterns and statistics
Lindsey R. Campbell, Samantha Dahlberg, Robert Dorward +4
A restricted growth function (RGF) of length n is a sequence w = w_1 w_2 ... w_n of positive integers such that w_1 = 1 and w_i is at most 1 + max{w_1,..., w_{i-1}} for i at least…
One-Level density for holomorphic cusp forms of arbitrary level
Owen Barrett, Paula Burkhardt, Jonathan DeWitt +2
In 2000 Iwaniec, Luo, and Sarnak proved for certain families of -functions associated to holomorphic newforms of square-free level that, under the Generalized Riemann Hypothesis…
Individual Gap Measures from Generalized Zeckendorf Decompositions
Robert Dorward, Pari L. Ford, Eva Fourakis +3
Zeckendorf's theorem states that every positive integer can be uniquely decomposed as a sum of nonconsecutive Fibonacci numbers. The distribution of the number of summands converge…
A Generalization of Zeckendorf's Theorem via Circumscribed -gons
Robert Dorward, Pari L. Ford, Eva Fourakis +4
Zeckendorf's theorem states that every positive integer can be uniquely decomposed as a sum of nonconsecutive Fibonacci numbers, where the Fibonacci numbers satisfy $F_n=F_{n-1}+F_…
Set partition patterns and statistics
Samantha Dahlberg, Robert Dorward, Jonathan Gerhard +4
A set partition of contains another set partition if restricting to some and then standardizing the result gives . Otherwise we s…