The arithmetic function of two variables is defined. Some properties of the function are given along with the formula that is an analog of the so-called Mobius' inversion formula. A heuristic statement is suggested.
The Convolution Ring of Arithmetic Functions and Symmetric Polynomials
Conditional Results for a Class of Arithmetic Functions: a variant of H. L. Montgomery and R. C. Vaughan's method
Patterns in the iteration of an arithmetic function
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