Amirali Fatehizadeh

collaborators

5 papers

math.NT2026

Prime and Nonprime Totatives: A Sharp Construction and Exact Thresholds

Amirali Fatehizadeh

For $n\ge2$, let $A(n)=π(n)-ω(n)$ and $B(n)=ϕ(n)-π(n)+ω(n)$ denote the numbers of prime and nonprime totatives of $n$, respectively, with $1$ included in $B(n)$. We con…

math.NT2026

On the Divisibility Relation $σ (n) ∣ σ (n + h)$ and a Generalized Erdős--Sierpiński Conjecture

Amirali Fatehizadeh, Florian Luca

For each fixed positive integer $h$ , we study the divisibility relation $σ (n) ∣ σ (n + h)$ . We isolate an explicit regular family arising from integral quotients of shifted abundancy…

math.NT2026

A generalization of the Erdős-Sierpiński conjecture

Amirali Fatehizadeh

In this paper, we investigate the combinatorial structure and asymptotic distribution of the solution set of the equation $σ (n + 1) = k σ (n)$ for a given integer $k > 1$ . From a combina…

math.NT2026

On the Natural Density of Monic Integer Polynomials with Roots in a Fixed Number Field

Amirali Fatehizadeh

In this article, we investigate the statistical distribution and asymptotic behavior of the family of monic integer polynomials of degree $n$ having at least one root in a fixed nu…

math.CO2020

Some results on average of Fibonacci and Lucas sequences

Daniel Yaqubi, Amirali Fatehizadeh

In this paper, we discuss about some results on average of Fibonacci and Lucas sequences that may be found in the OEIS code A111035.

Prime and Nonprime Totatives: A Sharp Construction and Exact Thresholds

On the Divisibility Relation σ(n)∣σ(n+h) and a Generalized Erdős--Sierpiński Conjecture

A generalization of the Erdős-Sierpiński conjecture

On the Natural Density of Monic Integer Polynomials with Roots in a Fixed Number Field

Some results on average of Fibonacci and Lucas sequences

On the Divisibility Relation $σ (n) ∣ σ (n + h)$ and a Generalized Erdős--Sierpiński Conjecture