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- W4298589682 abstract "Let $f: mathbb{N}^2 mapsto mathbb{C}$ be an arithmetic function of two variables. We study the existence of the limit: [displaystyle lim_{x to infty} frac{1}{x^2 (log x)^{k-1}} sum_{n_1 , n_2 le x} f (n_1, n_2) ] where $k$ is a fixed positive integer. Moreover, we express this limit as an infinite product over all prime numbers in the case that $f$ is a multiplicative function of two variables. This study is a generalization of Cohen-van der Corput's results to the case of two variables." @default.
- W4298589682 created "2022-10-02" @default.
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- W4298589682 date "2016-04-18" @default.
- W4298589682 modified "2023-09-28" @default.
- W4298589682 title "On some generalizations of mean value theorems for arithmetic functions of two variables" @default.
- W4298589682 doi "https://doi.org/10.48550/arxiv.1604.05410" @default.
- W4298589682 hasPublicationYear "2016" @default.
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