Zeta function

This article is about a particular function from a subset of the real numbers to the real numbers. Information about the function, including its domain, range, and key data relating to graphing, differentiation, and integration, is presented in the article.
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Definition

Definition for real numbers greater than 1

Suppose $s > 1$. Then, the zeta function of $s$, denoted $\zeta(s)$, is defined as follows:

$\! \zeta(s) = \sum_{n=1}^\infty \frac{1}{n^s}$

General definition

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