11 citations · 19 across the 10 of their papers we have counts for
10 papers
Coincidence among sum formulas for zeta-like multiple values
Kwang-Wu Chen
We study two families of zeta-like multiple series -- the multiple -values and the multiple -values -- defined by nested sums with shifted denominators. An explicit factorial…
Some Symmetry and Duality Theorems on Multiple Zeta(-star) Values
Kwang-Wu Chen, Minking Eie, Yao Lin Ong
In this paper, we provide a symmetric formula and a duality formula relating multiple zeta values and zeta-star values. Leveraging Zagier's formula for computing $ζ^\star(\{2\}^p,3…
Weighted Sum Formulas from Shuffle Products of Multiple Zeta-star Values
Kwang-Wu Chen, Minking Eie
In this paper, we are going to perform the shuffle products of and with $m+…
On three general forms of multiple zeta(-star) values
Kwang-Wu Chen, Minking Eie
In this paper, we investigate three general forms of multiple zeta(-star) values. We use these values to give three new sum formulas for multiple zeta(-star) values with height $\l…
On the convolutions of sums of multiple zeta(-star) values of height one
Kwang-Wu Chen, Minking Eie
In this paper, we investigate the sums of mutliple zeta(-star) values of height one: , $Z_{\pm}^{\star}(n)=\sum_{a+b=n} (\pm 1)^bζ^…
Generalized Harmonic Number Sums and Quasi-Symmetric Functions
Kwang-Wu Chen
We express some general type of infinite series such as $$ \sum^\infty_{n=1}\frac{F(H_n^{(m)}(z),H_n^{(2m)}(z),\ldots,H_n^{(\ell m)}(z))} {(n+z)^{s_1}(n+1+z)^{s_2}\cdots (n+k-1+z)^…
Some special Euler sums and
Kwang-Wu Chen, Minking Eie
In this paper, we investigate the Euler sums $$ G_{n+2}(p,q)=\sum_{1\leq k_1<k_2<\cdots<k_{p+1}}\frac1{k_1k_2\cdots k_pk_{p+1}^{n+2}} \sum_{1\leq\ell_1\leq\ell_2\leq\cdots\leq\ell_…
Generalized Arakawa-Kaneko zeta functions
Kwang-Wu Chen
Let be real numbers, and be a complex number, with , , and . The zeta function is defined by $$ Z^{\bfα}_p(s;x) =\frac{1}{Γ(…
Multinomial Sum Formulas of Multiple Zeta Values
Kwang-Wu Chen
For a pair of positive integers with , in this paper we prove that $$ \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…
Sum formulas of mltiple zeta values with arguments are multiple of a positive integer
Kwang-Wu Chen, Chan-Liang Chung, Minking Eie
For , let be the sum of all multiple zeta values of depth and weight with arguments are multiples of . More precisely, $E(mn,k)=\sum_{|\boldsym…