Some questions related to the arithmetic derivative and its applications

E. I. Deza, T. N. Kazarihina, D. Y. Ganusenko, S. O. Tikhonov

Institute of Mathematics and Computer Science, Moscow Pedagogical State University (Moscow)

Abstract: The article discusses the properties of the arithmetic derivative and the primitive on the set of rational numbers, obtained properties related to similar properties of the derivative function, some equations in arithmetic derivatives and the properties of their solutions.

Keywords: arithmetiсal derivative, arithmetical antiderivative, Lebnitz rule, arithmetical constant.

UDC: 511, 519.6

Received: 05.06.2025
Revised: 27.08.2025

DOI: 10.22405/2226-8383-2025-26-3-96-112