One generalization of natural numbers and derived theorems

27 February 2024, Version 1
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

This paper is supplements of two previous papers. Mainly we show one generalization of natural numbers, and the fact that the identity on natural numbers in the one of the papers is derived from that structure.

Keywords

natural numbers
algebraic number theory
divisor function
Euler's totient function
divisor summatory function
arithmetic function

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