2 papers
math.NT2025
On -amicable numbers and their generalizations
S. I. Dimitrov
In this article, we study the properties of -amicable numbers. We prove that their asymptotic density relative to the positive integers is zero. We also propose generalizations…
math.NT2025
On -quadratic -tuples and their generalizations
S. I. Dimitrov
In this paper, we introduce the notion of -quadratic -tuples. We also give examples, prove some properties and propose generalizations of these new concepts.