(adsbygoogle = window.adsbygoogle || []).push({}); "Riemann zeta function"...generalization..

Hello my question is if we define the "generalized" Riemann zeta function:

[tex] \zeta(x,s,h)= \sum_{n=0}^{\infty}(x+nh)^{-s} [/tex]

which is equal to the usual "Riemann zeta function" if we set h=1, x=0 ,then my question is if we can extend the definition to include negative values of "s" (using a functional equation or something similar)..:tongue2: :tongue2:

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Riemann zeta function generalization

**Physics Forums | Science Articles, Homework Help, Discussion**