논문

The multinomial convolution sums of certain divisor functions

https://doi.org/10.1016/j.jmaa.2016.11.052

저자 Bumkyu Cho, Daeyeoul Kim*, Ho Park
학술지Journal of mathematical analysis and applications 448(2)
등재유형
게재일자(2017)

In this article we first introduce some results about the binomial, trinomial, and quadrinomial convolution sums of certain divisor functions and then we provide an identity for the multinomial convolution sums of the divisor function

σ_{r}^{？} (n) : = \sum_{\begin{matrix} d | n \\ n / d \equiv 1 (4) \end{matrix}} d^{r} - {(- 1)}^{r} \sum_{\begin{matrix} d | n \\ n / d \equiv - 1 (4) \end{matrix}} d^{r}

σ_{r}^{？} (n) : = \sum_{\begin{matrix} d | n \\ n / d \equiv 1 (4) \end{matrix}} d^{r} - {(- 1)}^{r} \sum_{\begin{matrix} d | n \\ n / d \equiv - 1 (4) \end{matrix}} d^{r}

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논문

The multinomial convolution sums of certain divisor functions

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