Kwang-Wu Chen

activity

20162025

most citedGeneralized Arakawa-Kaneko zeta functions

11 citations · 19 across the 10 of their papers we have counts for

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math.NT2017★ 11 cited

Generalized Arakawa-Kaneko zeta functions

Kwang-Wu Chen

Let $p, x$ be real numbers, and $s$ be a complex number, with $ℜ (s) > 1 - r$ , $p \geq 1$ , and $x + 1 > 0$ . The zeta function $Z_{p}^{α} (s; x)$ is defined by $$ Z^{\bfα}_p(s;x) =\frac{1}{Γ(…

math.NT2017★ 1 cited

Multinomial Sum Formulas of Multiple Zeta Values

Kwang-Wu Chen

For a pair of positive integers $n, k$ with $n \geq 2$ , in this paper we prove that $$ \sum_{r=1}^k\sum_{|\bfα|=k}{k\choose\bfα} ζ(n\bfα)=ζ(n)^k =\sum^k_{r=1}\sum_{|\bfα|=k} {k\choos…