Difference between revisions of "Hurwitz zeta"
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(Created page with "The Hurwitz zeta function is defined for $\Re(s)>1$, $$\zeta(s,a)= \displaystyle\sum_{n=0}^{\infty} \dfrac{1}{(n+a)^s}.$$") |
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− | The Hurwitz zeta function is defined for $\Re(s)>1$, | + | The Hurwitz zeta function is defined for $\mathrm{Re}(s)>1$, |
$$\zeta(s,a)= \displaystyle\sum_{n=0}^{\infty} \dfrac{1}{(n+a)^s}.$$ | $$\zeta(s,a)= \displaystyle\sum_{n=0}^{\infty} \dfrac{1}{(n+a)^s}.$$ |
Revision as of 21:09, 7 October 2014
The Hurwitz zeta function is defined for $\mathrm{Re}(s)>1$, $$\zeta(s,a)= \displaystyle\sum_{n=0}^{\infty} \dfrac{1}{(n+a)^s}.$$