History of Values of the Riemann zeta function at rational numbers

   comment-pole: At $s=1$, $\zeta$ has a simple pole. Formulas:-  formula-values-at-non-positive-integers: $\zeta(-n) = (-1)^n\frac{B_n}{n+1}$ for-    integers $n\geq 0$,  where $B_n$ is the $n$'th HREF{T13}[Bernoulli number]  with+  formula-values-at-non-positive-integers: $\zeta(-n) = (-1)^n\frac{B_{n+1}}{n+1}$+    for integers $n\geq 0$,  where $B_n$ is the $n$'th HREF{T13}[Bernoulli number]  with     sign convention $B_1=-1/2$.   formula-values-at-positive-even-integers: $\zeta(2n) = \frac{(-1)^{n+1}B_{2n}(2\pi)^{2n}}{2(2n)!}$  for