Survey of Algebraic Number Theory and Iwasawa Theory on Prime Behavior — E8 Intelligence Research

FINDING: Survey of algebraic number theory fundamentals and Iwasawa theory, with a focus on prime behavior in extensions; no single breakthrough identified. | MATH: Key concepts: prime ideals, ring of integers, class group, Iwasawa theory (Z_p-extensions, μ=λ=0 conjectures). No new equations or constants. | CONNECTION: No explicit geometric ratios or symmetries; Iwasawa theory relates to p-adic L-functions and cyclotomic fields, which have connections to root-of-unity symmetries (cyclic groups, not golden ratio). | DEPTH: 2 — Introductory/educational material; no novel result. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-14
DOI
https://doi.org/10.5281/zenodo.21928988
Primary Topic
Analytic Number Theory Research
Type
preprint
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preprint

Survey of Algebraic Number Theory and Iwasawa Theory on Prime Behavior — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
preprint

Survey of Algebraic Number Theory and Iwasawa Theory on Prime Behavior — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Survey of algebraic number theory fundamentals and Iwasawa theory, with a focus on prime behavior in extensions; no single breakthrough identified. | MATH: Key concepts: prime ideals, ring of integers, class group, Iwasawa theory (Z_p-extensions, μ=λ=0 conjectures). No new equations or constants. | CONNECTION: No explicit geometric ratios or symmetries; Iwasawa theory relates to p-adic L-functions and cyclotomic fields, which have connections to root-of-unity symmetries (cyclic groups, not golden ratio). | DEPTH: 2 — Introductory/educational material; no novel result. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
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