Zeta function

From Calculus
Revision as of 00:14, 13 February 2012 by Vipul (talk | contribs) (Created page with "{{particular function}} ==Definition== ===Definition for real numbers greater than 1=== Suppose <math>s > 1</math>. Then, the zeta function of <math>s</math>, denoted <math...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search
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.
View a complete list of particular functions on this wiki

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

Fill this in later