(1+z) or not? This is the problem

Scaling law:

[dV.png]
Comoving emissivity:

[emissiv.png]
where dE/(dV dt de)=proper emissivity, dE/(dV0 dt de)=comoving emissivity.

It must be integrated long the proper distance: [emissiv_int.png]

Comoving specific emissivity:

[specific.png]