6 citations · 6 across the 5 of their papers we have counts for
5 papers
Parabolic Category O in Complex Rank via Fock Space Tensor Product Categorifications
Hamilton Wan
We initiate the study of complex rank analogues of parabolic categories for general linear Lie algebras defined via Deligne's interpolating categories. We regard thes…
The Distribution of Error Terms of Smoothed Summatory Totient Functions
Sanjana Das, Hannah Lang, Hamilton Wan +1
We consider the summatory function of the totient function after applications of a suitable smoothing operator and study the limiting behavior of the associated error term. Under s…
Distributions of Hook Lengths Divisible by Two or Three
Hannah Lang, Hamilton Wan, Nancy Xu
For fixed or , we investigate the statistical properties of , the sequence of random variables corresponding to the number of hook lengths divisible by a…
The Distribution of -Free Effective Divisors and the Summatory Totient Function in Function Fields
Sanjana Das, Hannah Lang, Hamilton Wan +1
Motivated by the study of the summatory -free indicator and totient functions in the classical setting, we investigate their function field analogues. First, we derive an expres…
Slope Gap Distribution of Saddle Connections on the 2n-gon
Jonah Berman, Taylor McAdam, Ananth Miller-Murthy +2
We explicitly compute the limiting slope gap distribution for saddle connections on any 2n-gon. Our calculations show that the slope gap distribution for a translation surface is n…