generalized zeta function

The generalized zeta function is defined for σ1+δ by


where a is a constant. Clearly, ζ(s,1)=ζ(s), where ζ(s) is the Riemann zeta functionDlmfDlmfMathworldPlanetmath.


  • 1 Hurwitz, Zeitschritf für Math. und Phys. xxvii. (1882), pp. 86-101.
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