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- W4285157632 abstract "Abstract The main theorem of this article is to evaluate and express the multinomial convolution sum of the divisor function <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:msubsup> <m:mrow> <m:mi>σ</m:mi> </m:mrow> <m:mrow> <m:mi>r</m:mi> </m:mrow> <m:mrow> <m:mi>♯</m:mi> </m:mrow> </m:msubsup> <m:mrow> <m:mo>(</m:mo> <m:mrow> <m:mi>n</m:mi> <m:mo>;</m:mo> <m:mspace width=0.33em /> <m:mi>N</m:mi> <m:mspace width=-0.08em /> <m:mtext>/</m:mtext> <m:mspace width=-0.08em /> <m:mn>4</m:mn> <m:mo>,</m:mo> <m:mi>N</m:mi> </m:mrow> <m:mo>)</m:mo> </m:mrow> </m:math> {sigma }_{r}^{sharp }left(n;hspace{0.33em}Nhspace{-0.08em}text{/}hspace{-0.08em}4,N) in as a simple form as possible, where <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mi>N</m:mi> <m:mspace width=-0.08em /> <m:mtext>/</m:mtext> <m:mspace width=-0.08em /> <m:mn>4</m:mn> </m:math> Nhspace{-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 <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mi>N</m:mi> <m:mo>=</m:mo> <m:mn>4</m:mn> </m:math> N=4 . While obtaining our main theorem, we derive some generalizations of other identities to the case that we are dealing with." @default.
- W4285157632 created "2022-07-14" @default.
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- W4285157632 date "2022-01-01" @default.
- W4285157632 modified "2023-09-26" @default.
- W4285157632 title "The multinomial convolution sum of a generalized divisor function" @default.
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- W4285157632 doi "https://doi.org/10.1515/math-2022-0038" @default.
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