Published 2020-12-28
Keywords
- Integral equations,
- \(\xi - \) Function,
- \( zeta -\) Function
Copyright (c) 2024 Scientia Series A: Mathematical Sciences
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How to Cite
A note in the Riemann \(\xi - \) Function. (2020). Scientia Series A: Mathematical Sciences, 31, 15-23. https://revistas.usm.cl/scientia/article/view/29
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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