Guo Chen

Orthogonal Polynomials of the Semilocal Euler–Gamma Measure: Effective Reconstruction of the Weil Form and an Arcsine Limit Theorem at the Prime Two

For a finite set $\mathcal{P}$ of primes and $\sigma>0$ let $w_{\mathcal{P},\sigma}(t)=\lvert \mathcal{L}_{\mathcal{P}}(\sigma+it)\rvert^2$, where $\mathcal{L}_{\mathcal{P}}(s)=\pi^{-s/2}\Gamma(s/2)\prod_{p\in\mathcal{P}}(1-p^{-s})^{-1}$. At $\sigma=\tfrac{1}{2}$ this is the spec...