Asymptotic growth of Hermite series and an application to the theory of the Riemann zeta function
It is shown that the Riemann hypothesis is a consequence of a growth condition for a sequence of numbers associated with Hermite functions \(h_n\), which are solutions of the second-order differential equation \[ y''(x)+(2n+1-x^2)y(x)=0. \]
scientific article; zbMATH DE number 1003990