On generalized Li criterion for a certain class of $L-$functions

Anne-Maria Ernvall-Hytönen, Almasa Odžak, Lejla Smajlović +1

We define generalized Li coefficients, called $\tau -$Li coefficients for a very broad class ${\mathcal{S}}^{♯♭}({\sigma }_0,{\sigma }_1)$ of $L-$functions that contains the Selberg class, t…