given the function [tex] Z(s)= \prod _{k=0}^{\infty}\zeta (s+k) [/tex] with [tex] \zeta (s) [/tex] being the Riemann Zeta function(adsbygoogle = window.adsbygoogle || []).push({});

the idea is if ALL the roots have real part (i mean Riemann Hypothesis) is correct, then what would happen with the roots of Z(s) ??

what would be the Functional equation relating Z(1-s) and Z(s) ¿¿ from the definition of Riemann functional equation

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

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

# Generalized ZETA function

Loading...

Similar Threads - Generalized ZETA function | Date |
---|---|

A What separates Hilbert space from other spaces? | Jan 15, 2018 |

A Galois theorem in general algebraic extensions | Apr 29, 2017 |

I Generalizing the definition of a subgroup | Feb 20, 2017 |

Zeta(3) and Euler's formula | Jun 11, 2013 |

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