Published 2024-07-11
Keywords
- Integral equations,
- \(\xi - \) Function,
- \( zeta -\) Function
Abstract
This note investigates a number of integrals of and integral equations satisfied by Riemann’s \(\ xi - \) function and its integer powers.
A somewhat less restrictive derivation of one of Riemann’s identities is provided. The work centers on the critical strip and it is argued that the line \(\ s = 3/2 + it \, , \, \text{e.g.,}\) contains a kind of holographic image of the critical region.
