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zeta_functions [2015/02/07 23:47]
nikolaj
zeta_functions [2015/02/07 23:47] (current)
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 $S\,​Q(t)=2\,​Q(t)-1$.)
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