Published 2021-01-15
DOI:
https://doi.org/10.71712/Keywords
- Integral equations,
- \(\xi - \) Function,
- \( zeta -\) Function
Copyright (c) 2024 Scientia Series A: Mathematical Sciences
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
How to Cite
Glasser, M. (2021). A note in the Riemann \(\xi - \) Function. Scientia Series A: Mathematical Sciences, 31, 15-23. https://doi.org/10.71712/
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.
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