Introduction to Analytic Number Theory
《Introduction to Analytic Number Theory》 · 第 264 页 · Section 12.11「Evaluation of $\zeta(-n,a)$」
For any complex $x$ we define the functions $B_n(x)$ by the equation $\frac{ze^{xz}}{e^z-1}=\sum_{n\ge0}B_n(x)\frac{z^n}{n!}$. The numbers $B_n(0)$ are called Bernoulli numbers and are denoted by $B_n$.