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math.NT2023
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…
math.NT2023
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…
math.NT2023
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…