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zeta_functions [2015/02/07 23:47] nikolaj |
zeta_functions [2015/02/07 23:47] nikolaj |
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| $Q(t):=\dfrac{1}{1-t}=\sum_{n=0}^\infty t^n$ | $Q(t):=\dfrac{1}{1-t}=\sum_{n=0}^\infty t^n$ | ||
| - | It starts out as $Q(t)=1+t+{\marhcal O}(t^2) \approx 1-T$, but it diverges once $t$ reaches $1$. | + | It starts out as $Q(t)=1+t+{\mathcal O}(t^2) \approx 1-T$, but it diverges once $t$ reaches $1$. |
| (And I observe $S\,Q(t)=2\,Q(t)-1$.) | (And I observe $S\,Q(t)=2\,Q(t)-1$.) | ||
