English

The Riemann Hypothesis in Oaxaca

Number Theory 2026-02-04 v2

Abstract

An equivalence of the Riemann Hypothesis (RH) enables a direct bridge to the Young lattice. In specific, the classical threshold limnσ(n)/(nloglogn)=eγ1.78107\lim_{n\to\infty} \sigma(n)/(n \log\log n) = e^{\gamma} \approx 1.78107, derived from the asymptotic behavior of the sum-of-divisors function, can be realized combinatorially via limiting proportions associated to specific families of integer partitions.

Keywords

Cite

@article{arxiv.2601.22413,
  title  = {The Riemann Hypothesis in Oaxaca},
  author = {Carlos Segovia},
  journal= {arXiv preprint arXiv:2601.22413},
  year   = {2026}
}
R2 v1 2026-07-01T09:26:53.195Z