The Riemann Hypothesis in Oaxaca
Carlos Segovia
Abstract
An equivalence of the Riemann Hypothesis (RH) enables a direct bridge to the Young lattice. In specific, the classical threshold $\lim_{n\to\infty} σ(n)/(n \log\log n) = e^γ \approx 1.78107$, 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.
