An arithmetic function of two variables

2000/12/27 by P. A. Gustomesov, Gustomesov, P. A.
Mathematics · #Advanced Mathematical Theories #Mathematical and Computational Methods #Mathematics and Applications #math.NT

paper · pdf · doi:10.48550/arxiv.math/0012253

arxiv created 2000/12/27 · arxiv updated 2009/11/30

Abstract

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.

Related

• Inversion Formula
• Inequalities involving arithmetic functions
• Arithmetic Functions and Geometry
• A study of I-functions of two variables
• Counting the number of inequivalent arithmetic expressions on n variables