Luca Salasnich On the Torus Quantization of Two Anyons with Coulomb Interaction in a Magnetic Field (12K, Latex) ABSTRACT. We study two anyons with Coulomb interaction in a uniform magnetic field $B$. By using the torus quantization we obtain the modified Landau and Zeeman formulas for the two anyons. Then we derive a simple algebraic equation for the full spectral problem up to the second order in $B$. (To be published in Modern Physics Letters B).