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2010•International Journal of Number TheoryRequires access

GENERALIZED ARITHMETICAL FUNCTIONS OF THREE VARIABLES

Emil Daniel Schwab

Open publisher page 3 citations

Abstract

The paper is devoted to the study of some properties of generalized arithmetical functions extended to the case of three variables. The convolution in this case is a convolution of the incidence algebra of a Möbius category in the sense of Leroux. This category is a two-sided analogue of the poset (it is viewed as a category) of positive integers ordered by divisibility.

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What this paper is about

The paper is devoted to the study of some properties of generalized arithmetical functions extended to the case of three variables. The convolution in this case is a convolution of the incidence algebra of a Möbius category in the sense of Leroux. This category is a two-sided analogue of the poset (it is viewed as a category) of positive integers ordered by divisibility.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The paper is devoted to the study of some properties of generalized arithmetical functions extended to the case of three variables. The convolution in this case is a convolution of the incidence algebra of a Möbius category in the sense of Leroux. This category is a two-sided analogue of the poset (it is viewed as a category) of positive integers ordered by divisibility.

Key concepts: Mathematics, Arithmetic function, Divisibility rule, Convolution (computer science), Pure mathematics, Algebra over a field, Arithmetic, Discrete mathematics

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