Operator-valued zeta functions and Fourier analysis

Dorje C Brody, Carl M. Bender

The Riemann zeta function $\zeta (s)$ is defined as the infinite sum ${\sum }_{n=1}^{\infty }{n}^{-s}$, which converges when $\mathrm{Re}s>1$. The Riemann hypothesis asserts that the nontrivial…