Felix Cristiano Paim Kessler

Positivity of the k=1 Toeplitz Minors of the Riemann ξ-Coefficients

We prove strict positivity of the complete (k=1) family of consecutive Toeplitz minors associated with the Taylor coefficients of the Riemann (\xi)-function: D_{r,1} > 0 for every r >= 1. The proof rewrites (D_{r,1}) as a coefficient of the reciprocal generating function a_0 / G(...