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The multinomial convolution sum of a generalized divisor function

Ho Park

Abstrak

Abstract The main theorem of this article is to evaluate and express the multinomial convolution sum of the divisor function σ r ♯ ( n ; N / 4 , N ) {\sigma }_{r}^{\sharp }\left(n;\hspace{0.33em}N\hspace{-0.08em}\text{/}\hspace{-0.08em}4,N) in as a simple form as possible, where N / 4 N\hspace{-0.08em}\text{/}\hspace{-0.08em}4 is an arbitrary odd positive integer. This generalizes previous result in combination with Cho and Kim, which is about the case N = 4 N=4 . While obtaining our main theorem, we derive some generalizations of other identities to the case that we are dealing with.

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Ho Park

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Park, H. (2022). The multinomial convolution sum of a generalized divisor function. https://doi.org/10.1515/math-2022-0038

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Total Sitasi: 1×
Sumber Database: CrossRef
DOI: 10.1515/math-2022-0038
Akses: Open Access ✓