6,068
edits
Euler's formula for Zeta-function: Difference between revisions
no edit summary
No edit summary |
No edit summary |
||
| (One intermediate revision by one other user not shown) | |||
| Line 3: | Line 3: | ||
'''''Euler's formula for Zeta-function''''' 1740 | '''''Euler's formula for Zeta-function''''' 1740 | ||
The Riemann zeta function is defined as the analytic continuation of the function defined for | The Riemann zeta function is defined as the analytic continuation of the function defined for <math>\sigma > 1</math> by the sum of the preceding series. | ||
: | : <math>\sum\limits_{n=1}^{\infty} \frac{1}{n^{s}} = \prod\limits_{p} \frac{1}{1 - \frac{1}{p^s}}</math> | ||
| Line 13: | Line 13: | ||
== Discussion:== | == Discussion:== | ||
[[Category:Mathematics]] | |||