What are the best approximations in terms of elementary functions of one real variable for:
$$\zeta(s)=\sum_{n=1}^{\infty} \frac{1}{n^s},$$ for $Re(s)>1?$
There is not an elementary function that equals $\zeta(s)$ so which one does best?
What are the best approximations in terms of elementary functions of one real variable for:
$$\zeta(s)=\sum_{n=1}^{\infty} \frac{1}{n^s},$$ for $Re(s)>1?$
There is not an elementary function that equals $\zeta(s)$ so which one does best?
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