Some general theorems about a class of sets of numbers



Abstract

We prove a theorem which unifies some formulas, for example the counting function of some sets of numbers including all positive integers, h-free numbers, h-full numbers, etc. We also establish a conjecture and give some examples where the conjecture holds.


Keywords

sets of numbers; counting function; general theorems; least prime factor

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Published : 2023-12-13


JakimczukR. (2023). Some general theorems about a class of sets of numbers. Annales Mathematicae Silesianae. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/16499

Rafael Jakimczuk  jakimczu@mail.unlu.edu.ar
Departamento de Ciencias Básicas, División Matemática, Universidad Nacional de Luján, Buenos Aires  Argentina



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