S. Dimitrov

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math.NT2025

On $I ¨ $ -amicable numbers and their generalizations

S. I. Dimitrov

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

math.NT2025

On $I ¨ $ -quadratic $k$ -tuples and their generalizations

S. I. Dimitrov

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

math.NT2024

Lower bounds on expressions dependent on functions $I ¨ (n)$ , $I ¨ (n)$ and $I ¨ (n)$ , II

S. I. Dimitrov

In this paper we establish lower bounds on several expressions dependent on functions $I ¨ (n)$ , $I ¨ (n)$ and $I ¨ (n)$ .

On I¨-amicable numbers and their generalizations

On I¨-quadratic k-tuples and their generalizations

Lower bounds on expressions dependent on functions I¨(n), I¨(n) and I¨(n), II

On $I ¨ $ -amicable numbers and their generalizations

On $I ¨ $ -quadratic $k$ -tuples and their generalizations

Lower bounds on expressions dependent on functions $I ¨ (n)$ , $I ¨ (n)$ and $I ¨ (n)$ , II