Mikhail R. Gabdullin

activity

20162026

most citedOn squares in special sets of finite fields

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

collaborators

5 papers

math.NT2026

Distinct exponents in the prime factorization

Mikhail R. Gabdullin, Vitalii V. Iudelevich

Following Erdős (1982) and Sanna (2019), we study the arithmetic function $h (n)$ , which is defined to be the number of distinct exponents in the prime factorization of a positive i…

math.NT2023

Numbers of the form $k + f (k)$

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

For a function $f : N \to N$ , let $$ N^+_f(x)=\{n\leq x: n=k+f(k) \mbox{ for some } k\}. $$ Let $τ (n) = \sum_{d ∣ n} 1$ be the divisor function, $ω (n) = \sum_{p ∣ n} 1$ b…

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…

math.NT2016

On squares in subsets of finite fields with restrictions on coefficients of basis decomposition

Mikhail Gabdullin

We consider the linear vector space formed by the elements of the finite fields $F_{q}$ with $q = p^{r}$ over $F_{p}$ . Let $a_{1}, \dots, a_{r}$ be a basis of this space. Th…

math.NT2016★ 1 cited

On squares in special sets of finite fields

Mikhail Gabdullin

We consider the linear vector space formed by the elements of the finite fields $F_{q}$ with $q = p^{r}$ over $F_{p}$ . Let ${a_{1}, \dots, a_{r}}$ be a basis of this space.…

Distinct exponents in the prime factorization

Numbers of the form k+f(k)

Numbers of the form kf(k)

On squares in subsets of finite fields with restrictions on coefficients of basis decomposition

On squares in special sets of finite fields

Numbers of the form $k + f (k)$

Numbers of the form $k f (k)$