W Oukil

Asymmetry of a class of Mellin transforms

We consider a class of Mellin transforms $\mu_\eta$ associated with a class of functions $\eta$, defined for every complex $s$ in the critical strip. We establish a sufficient condition on $\eta$ under which $\mu_\eta(s)$ and $\mu_\eta(1-s)$ cannot both vanish outside the critica...