论文标题
zeta-one函数在正整数上的函数的值
Values of zeta-one functions at positive even integers
论文作者
论文摘要
由Euler-Goldbach和Shallit-Zikan定理激励，我们引入了Zeta-One函数，无限总和为$ n^{s} \ pm1 $，作为Riemann Zeta函数的类比。然后，我们通过残基定理计算正整数上的这些函数的值。
Motivated by Euler-Goldbach and Shallit-Zikan theorems, we introduce zeta-one functions with infinite sums of $n^{s}\pm1$ as an analogy of the Riemann zeta function. Then we compute values of these functions at positive even integers by the residue theorem.
