S. Dimitrov

activity

20172025

most citedDiophantine approximation by special primes

5 citations · 5 across the 4 of their papers we have counts for

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math.NT2025

On $ψ$ -quadratic $k$ -tuples and their generalizations

S. I. Dimitrov

In this paper, we introduce the notion of $ψ$ -quadratic $k$ -tuples. We also give examples, prove some properties and propose generalizations of these new concepts.

math.NT2025

On $ψ$ -amicable numbers and their generalizations

S. I. Dimitrov

In this article, we study the properties of $ψ$ -amicable numbers. We prove that their asymptotic density relative to the positive integers is zero. We also propose generalizations…

math.NT2024

Generalizations of amicable numbers

S. I. Dimitrov

In this paper, we propose new generalizations of amicable numbers. We also give examples and prove properties of these new concepts.

math.NT2017★ 5 cited

Diophantine approximation by special primes

S. I. Dimitrov

We show that whenever $δ > 0$ , $η$ is real and constants $λ_{i}$ satisfy some necessary conditions, there are infinitely many prime triples $p_{1}, p_{2}, p_{3}$ satisfying the inequalit…

On ψ-quadratic k-tuples and their generalizations

On ψ-amicable numbers and their generalizations

Generalizations of amicable numbers

Diophantine approximation by special primes

On $ψ$ -quadratic $k$ -tuples and their generalizations

On $ψ$ -amicable numbers and their generalizations