generalized zeta function

The generalized zeta function is defined for $\sigma ⩾1+\delta$ by

$$\zeta (s,a)=\sum _{n=0}^{\mathrm{\infty }}\frac{1}{{(a+n)}^s},$$

where $a$ is a constant. Clearly, $\zeta (s,1)=\zeta (s)$, where $\zeta (s)$ is the Riemann zeta function.

Title	generalized zeta function
Canonical name	GeneralizedZetaFunction
Date of creation	2013-03-22 16:11:35
Last modified on	2013-03-22 16:11:35
Owner	Mathprof (13753)
Last modified by	Mathprof (13753)
Numerical id	7
Author	Mathprof (13753)
Entry type	Definition
Classification	msc 11M35