The Bernoulli-operator Riemann hypothesis for the function $\xi(B+s)$

Let $B$ denote the Bernoulli operator, defined formally by $e^{-Bx}=\frac{x}{e^x-1}$, and let $\xi$ be the Riemann xi function. The expression $\sin \pi B\cdot\xi(B+s)$ is defined using the same operator calculus. Bernoulli-operator Riemann hypothesis. All zeros of the function $\xi(B+s)$, and of $\sin \pi B\cdot\xi(B+s)$, lie on the imaginary axis in the $s$-plane. The paper also argues that each function has infinitely many Bernoulli-operator zeros on that axis, but does not establish the asserted location of all zeros.