3 papers
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 or , we investigate the statistical properties of , the sequence of random variables corresponding to the number of hook lengths divisible by a…
math.NT2022
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…