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

Subjects: Mathematics >> Mathematics （General） submitted time 2025-02-15

Chaochao Sun Hong Zhang

Abstract： 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.

Peer Review Status:Awaiting Review

 Hits 2165  Downloads 536  Comment 0