The spectrum of the Cesaro operator on the Hilbert-Polya space

Краткое изложение: By considering the spectrum of the Cesàro-Hardy operator on the Hilbert-Pólya space, we give a new way to understand the Riemann hypothesis for Riemann zeta function and Dirichlet L-function. We propose a key conjecture. The Riemann hypothesis is true under the conjecture.