5 citations · 10 across the 29 of their papers we have counts for
33 papers
On moments of gaps between consecutive squarefree numbers
Tsz Ho Chan
Let be the set of squarefree numbers in ascending order. In this paper, we prove that the following asymptotic on moments of gaps between squarefree numbers…
Spectrum of multiplicative functions over powerful numbers
Tsz Ho Chan
Roughly speaking, the spectrum of multiplicative functions is the set of all possible mean values. In this paper, we are interested in the spectra of multiplicative functions suppo…
Arithmetic Progressions in Squarefull Numbers
Prajeet Bajpai, Michael A. Bennett, Tsz Ho Chan
We answer a number of questions of Erdős on the existence of arithmetic progressions in -full numbers (i.e. integers with the property that every prime divisor necessarily occur…
Arithmetic progressions among powerful numbers
Tsz Ho Chan
In this paper, we study -term arithmetic progressions of powerful numbers. Under the -conjecture, we obtain . On the other hand,…
A note on powerful numbers in short intervals
Tsz Ho Chan
In this note, we are interested in obtaining uniform upper bounds for the number of powerful numbers in short intervals . We obtain unconditional upper bounds $O(\frac{…
Variance of Squarefull Numbers in Short Intervals
Tsz Ho Chan
In this paper, we study the variance of the number of squarefull numbers in short intervals. As a result, we are able to prove that, for any , almost all short interval…