(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 - The Fusion of Science and Community**

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

Loading...

Similar Threads for Riemann zeta function | Date |
---|---|

Functional equation Riemann Zeta function | Oct 15, 2015 |

Riemann zeta function - one identity | Feb 12, 2012 |

Understanding Riemann Zeta functions for s=1/3 | Jan 30, 2012 |

Derivative of Riemann zeta function | May 21, 2011 |

Unclear on Riemann Zeta Function | Jan 23, 2011 |

**Physics Forums - The Fusion of Science and Community**