Some general theorems about a class of sets of numbers

Rafael Jakimczuk

Published: 2023-12-13

Vol. 38 No. 2 (2024)

Some general theorems about a class of sets of numbers

Rafael Jakimczuk

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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Jakimczuk, R. (2023). Some general theorems about a class of sets of numbers. Annales Mathematicae Silesianae, 38(2), 314–335. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/16499

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Vol. 38 No. 2 (2024)
Published: 2024-07-23

ISSN: 0860-2107

eISSN: 2391-4238

10.2478/amsil

Publisher

University of Silesia Press

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