m = M + DM + K (Eqn. 1)

Where DM is the distance modulus and K is the K-correction.

The distance modulus is defined as follows:

DM = 5 log

where D

D

where D

The K-correction is calculated the following way:

K = -2.5 (1+α

The distance modulus is defined as follows:

DM = 5 log

_{10}( D_{L}/ 10pc ) (Eqn. 2)where D

_{L}is the luminosity distance, defined as follows:D

_{L}= (1+z)*D_{M}(Eqn. 3)where D

_{M}is the comoving distance and z is the redshift.The K-correction is calculated the following way:

K = -2.5 (1+α

_{ν})log_{10}(1+z) (Eqn. 4)α

_{ν}= -0.5 according to Richards et. al 2006So.... putting that all together:

M = m -DM - K

M = m - 5 log

_{10}( (1+z)*D_{M}/ 10pc ) + 2.5 (0.5)log_{10}(1+z)I've decided to use this table from Richards et.al. 2006 to do the k-corrections, because it corrects for both the emission line and continuum components, where as the equation above just corrects for the continuum.

References:

http://www.mporzio.astro.it/~fiore/agn/richards_2006.pdf

http://arxiv.org/pdf/astro-ph/9905116

http://www.mporzio.astro.it/~fiore/agn/richards_2006.pdf

http://arxiv.org/pdf/astro-ph/9905116

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