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<h1 align=center> The Riemann zeta function
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The Riemann zeta-function is defined by
$$
\zeta(s)=\sum_{n=1}^\infty \frac{1}{n^s}
	=\prod_p (1-p^{-s})^{-1} ,
$$
where $s=\sigma+it$, the product is over the primes, and the
series and product converge absolutely for $\sigma>1$.

The use of $s=\sigma+it$ as a complex variable in the theory of 
the Riemann $\zeta$-function has been standard since Riemann's original
paper.  

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Back to the 
<a href="http://www.aimath.org/WWN/rh/"> main index</a> 
for The Riemann Hypothesis.
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