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The analytic conductor of a newform $f \in S_k^{\mathrm{new}}(N,\chi)$ is the positive real number $N\left(\frac{\exp(\psi(k/2))}{2\pi}\right)^2,$ where $\psi(x):=\Gamma'(x)/\Gamma(x)$ is the logarithmic derivative of the Gamma function.

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• Review status: reviewed
• Last edited by David Farmer on 2019-04-11 23:02:18
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