Kanet Ponpetch, Vichian Laohakosol and Sukrawan Mavecha

DOI: 10.14456/sjst-psu.2019.168

pp. 1328 - 1338

Abstract

General criteria were derived for the linear dependence of arithmetic functions over the complex field as well as several
other criteria for arithmetic functions that were solutions of additive, multiplicative, exponential, and logarithmic equations. A
number of examples were worked out in order to compare the results with the existing ones. 

Keywords

• arithmetic functions
• linear dependence