M. Mehdizadeh

most citedImproved estimator of the entropy and goodness of fit tests in ranked set sampling

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math.NT2017

An Erdős-Kac theorem for Smooth and Ultra-Smooth integers

Marzieh Mehdizadeh

We prove an Erdős-Kac type of theorem for the set $S (x, y) = {n \leq x : p ∣ n \Rightarrow p \leq y}$ . If $ω (n)$ is the number of prime factors of $n$ , we prove that the distribution of…

math.NT2017

The Multiplication table for Smooth integers

Marzieh Mehdizadeh

The Erdős multiplication table problem asks what is the number of distinct integers appearing in the $N \times N$ multiplication table. The order of magnitude of this quantity was d…