Wojciech Michalowski

An explicit uniform cubic wedge for consecutive Toeplitz minors of the Riemann xi coefficients

Let (a_k) be the positive coefficient sequence of the normalized Riemann xi-function, and let D_{r,k} denote its consecutive Toeplitz minors. The Riemann Hypothesis is equivalent to (a_k) being a Polya frequency sequence of infinite order, and hence to nonnegativity of all Toeplitz minors. We prove that D_{r,k}>0 for e...