cosimo mesto

Strict Log-Concavity of the Riemann Xi Kernel via a Curvature-Variance Decomposition and an Analytic Single-Crest Theorem for Planat's Envelope

This preprint studies two analytic properties of the classical Riemann Xi kernel Φ and of the longitudinal envelope Qy introduced by Michel Planat in the context of paired theta-kernel methods. First, an independent and fully analytic proof of the strict log-concavity of the Riem...

Strict Log-Concavity of the Riemann Xi Kernel via a Curvature-Variance Decomposition and an Analytic Single-Crest Theorem for Planat's Envelope

This preprint studies two analytic properties of the classical Riemann Xi kernel Φ and of the longitudinal envelope Qy introduced by Michel Planat in the context of paired theta-kernel methods. First, an independent and fully analytic proof of the strict log-concavity of the Riem...