2 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
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…