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johnio09
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I am working on coding up the luminosity function for blazars but I have ran into a problem. In equations 1-3 of this paper https://arxiv.org/pdf/1912.01622 they state that the flux can be broken down into two components: one where z=0 and one part that is the evolutionary factor. The problem I have noticed is that in their equation for z=0 (eq. 3), there is 𝐿_𝛾 in the denominator, which is a function of the luminosity distance (eq. 2) https://ned.ipac.caltech.edu/level5/Hogg/Hogg4.html, the comoving distance would be 0 when z=0, resulting in luminosity distance being 0 when z=0 (according to 𝑑_𝐿=(1+𝑧)d_c). Hence this results in a divide by 0 error when trying to use their formula. Could somebody please help me understand what's going on? Thank you.