Chowla Conjecture Proof Absent in 2025 Search Results — E8 Intelligence Research

FINDING: The search results are dominated by popular expositions of the Poincaré conjecture, Riemann hypothesis, Collatz conjecture, and twin primes — but the only direct hit on the Chowla conjecture is a 2022 arXiv note (v8) claiming a solution of the *periodic* Chowla conjecture via discrete Fourier transform (DFT). No 2025 proof is present in these results. MATH: - Möbius function: μ(n) ∈ {−1, 0, 1}, multiplicative, μ(p^k)=0 for k≥2. - Chowla conjecture (original): For any fixed k-tuple a₀ Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-21
DOI
https://doi.org/10.5281/zenodo.22874024
Primary Topic
Benford’s Law and Fraud Detection
Type
preprint
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Chowla Conjecture Proof Absent in 2025 Search Results — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Benford’s Law and Fraud Detection
preprint

Chowla Conjecture Proof Absent in 2025 Search Results — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: The search results are dominated by popular expositions of the Poincaré conjecture, Riemann hypothesis, Collatz conjecture, and twin primes — but the only direct hit on the Chowla conjecture is a 2022 arXiv note (v8) claiming a solution of the *periodic* Chowla conjecture via discrete Fourier transform (DFT). No 2025 proof is present in these results. MATH: - Möbius function: μ(n) ∈ {−1, 0, 1}, multiplicative, μ(p^k)=0 for k≥2. - Chowla conjecture (original): For any fixed k-tuple a₀ Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Benford’s Law and Fraud Detection
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Chowla Conjecture Proof Absent in 2025 Search Results — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS