V. V. Iudelevich

most citedOn The Tree Structure of Natural Numbers, II

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2025

Generalization of the Ford-Zaharescu Theorem

Elizaveta D. Iudelevich, Vitalii V. Iudelevich

We derive an asymptotic formula for the sum $H = 0 < γ_{k} ⩽ T, 1 ⩽ k ⩽ m \sum h (a_{1} γ_{1} + a_{2} γ_{2} + \dots + a_{m} γ_{m}),$ where $a_{1}, a_{2}, \dots, a_{m}$ are integers…

math.NT2025

On the sum-of-squares function

Vitalii V. Iudelevich

In this paper, we derive the following asymptotic formula $\sum^{'}_{n ⩽ x} \frac{r ( n )}{r ( n + 1 )} = x (ln x)^{- 3/4} (c + o (1)), x \to + \infty,$ where $r (n)$ is…

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…