Particular values of the Riemann zeta function

Common card · No. 326631

In mathematics, the Riemann zeta function is a function in complex analysis, which is also important in number theory. It is often denoted ζ ( s ) {\displaystyle \zeta (s)} and is named after the mathematician Bernhard Riemann. When the argument s {\displaystyle s} is a real number greater than one, the zeta function satisfies the equation ζ ( s ) = ∑ n = 1 ∞ 1 n s . {\displaystyle \zeta (s)=\sum _{n=1}^{\infty }{\frac {1}{n^{s}}}\,.} It can therefore provide the sum of various convergent infinite series, such as...

Read on Wikipedia · Image Empetrisor, CC BY-SA 4.0