Hamilton Wan

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20212025

most citedSlope Gap Distribution of Saddle Connections on the 2n-gon

6 citations · 6 across the 5 of their papers we have counts for

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math.NT2022

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…

math.NT2022

Distributions of Hook Lengths Divisible by Two or Three

Hannah Lang, Hamilton Wan, Nancy Xu

For fixed $t = 2$ or $3$ , we investigate the statistical properties of ${Y_{t} (n)}$ , the sequence of random variables corresponding to the number of hook lengths divisible by $t$ a…

math.NT2022

The Distribution of $k$ -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 $k$ -free indicator and totient functions in the classical setting, we investigate their function field analogues. First, we derive an expres…

The Distribution of Error Terms of Smoothed Summatory Totient Functions

Distributions of Hook Lengths Divisible by Two or Three

The Distribution of k-Free Effective Divisors and the Summatory Totient Function in Function Fields

The Distribution of $k$ -Free Effective Divisors and the Summatory Totient Function in Function Fields