Operator-valued zeta functions and Fourier analysis
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DOI: 10.1088/1751-8121/ab25fa
Abstract: The Riemann zeta function $\zeta(s)$ is defined as the infinite sum $\sum_{n=1}^\infty n^{-s}$, which converges when ${\rm Re}\,s>1$. The Riemann hypothesis asserts that the nontrivial zeros of $\zeta(s)$ lie on the line ${\rm Re}\,s= \frac{1}{2}$.… read more here.
Keywords: valued zeta; zeta functions; analytic continuation; operator valued ... See more keywords