V. V. Iudelevich

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20222026

most citedOn The Tree Structure of Natural Numbers, II

1 citations · 1 across the 6 of their papers we have counts for

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math.NT2022★ 1 cited

On The Tree Structure of Natural Numbers, II

Vitalii V. Iudelevich

Each natural number can be associated with some tree graph. Namely, a natural number $n$ can be factorized as $n = p_{1}^{α_{1}} \dots p_{k}^{α_{k}},$ where $p_{i}$ are distinct prime num…

math.NT2022

Numbers of the form $k f (k)$

Mikhail R. Gabdullin, Vitalii V. Iudelevich, Florian Luca

For a function $f : N \to N$ , define $N^{\times}_{f}(x)=\#\{n\leq x: n=kf(k) \mbox{ for some $k$} \}$. Let $τ (n) = \sum_{d ∣ n} 1$ be the divisor function, $ω(n)=\su…

On The Tree Structure of Natural Numbers, II

Numbers of the form kf(k)

Numbers of the form $k f (k)$