A note in the Riemann \(\xi - \) 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.