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ψ ( x , ρ ) = ∑ p unram N ( p ) m ≤ x t r ρ ( τ ( p ) ) log N ( p ) = ∑ p unram N ( p ) m ≤ x χ ( g ) log N ( p ) {\displaystyle \psi(x,\rho)=\sum_{\substack{{\frak p}\textrm{ unram} \\ N({\frak p})^m\le x}}{\rm tr}\,\rho(\tau({\frak p}))\log N({\frak p})=\sum_{\substack{{\frak p}\textrm{ unram} \\ N({\frak p})^m\le x}}χ(g)\log N({\frak p})}
