SONGKLANAKARIN JOURNAL OF SCIENCE & TECHNOLOGY

Volume 41, No. 06, Month NOVEMBER, Year 2019, Pages 1328 - 1338

Linear dependence of four types of arithmetic functions

Kanet Ponpetch, Vichian Laohakosol, Sukrawan Mavecha

Abstract Download PDF

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

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