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

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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Publication Details

Journal
REVISTAS
Published
2025-08-25
DOI
https://doi.org/10.71712/nvny-3q20
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
0.00
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article

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

REVISTAS
Geochemistry and Geologic Mapping
article

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

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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.

REVISTAS
Universidad de Valladolid (ES), Clarkson University (US)
Reduced inequalities
Openalex Percentile: Top 67%
Geochemistry and Geologic Mapping
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A note in the Riemann \(\xi - \) Function · REVISTAS (2025) | TGRS Research Map | TGRS