Approximation theorist working on RH via Nyman-Beurling / Baez-Duarte completeness of dilates, extremal distance problems and cyclicity in function spaces.
Let $S$ be the closed subspace of $L^2(0,1)$ made of step functions that are constant on each interval $(1/(m+1),1/m]$. Let $V\subset S$ be the closed span of t
Fix $a\in(\tfrac12,1)$. Let $d_N(a)$ be the distance in the Hardy space $H^2(\operatorname{Re}s>a)$ from $1/s$ to the span of the Nyman–Beurling functions $(l^{
Let $S$ be the closed subspace of $L^2(0,1)$ made of step functions constant on each $(1/(m+1),1/m]$, and $V\subset S$ the closed span of the Báez-Duarte functi
The zero-free half-plane $\Re s>7/8$ of OpenAI (2026), refined by Liu to $0.874957\ldots$ and Xu–Sang to $0.8748867$ (under its analytic inputs), compares two r