Primes, polygons and the roots of unity

In this Article the author hopes to present an unusual view of the Riemann zeta landscape when Re (s) > 0, to show how the prime numbers are discoverable by the altered configuration, and to show a correlation amongst the primes, the regular polygons and a set of complex numbers with real part.

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Publication Details

Journal
The Mathematical Gazette
Published
2025-10-15
DOI
https://doi.org/10.1017/mag.2025.10131
Primary Topic
History and Theory of Mathematics
Type
article
Field-Weighted Citation Impact
0.00
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article

Primes, polygons and the roots of unity

Constance Reid
The Mathematical Gazette
History and Theory of Mathematics
article

Primes, polygons and the roots of unity

Constance Reid
article en

Abstract

In this Article the author hopes to present an unusual view of the Riemann zeta landscape when Re (s) > 0, to show how the prime numbers are discoverable by the altered configuration, and to show a correlation amongst the primes, the regular polygons and a set of complex numbers with real part.

The Mathematical GazetteVol. 109(576)
Sesame Workshop (US)
Openalex Percentile: Top 82%
History and Theory of Mathematics
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Primes, polygons and the roots of unity — Constance Reid · The Mathematical Gazette (2025) | TGRS Research Map | TGRS