The analytic conductor of an L-function $L(s)$ with infinity factor $L_{\infty}(s)$ and conductor $N$ is the real number \[ A := \mathrm{exp}\left(2\mathrm{Re}\left(\frac{L_{\infty}'(1/2)}{L_{\infty}(1/2)}\right)\right)N. \]
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- Last edited by Andrew Sutherland on 2020-12-11 17:48:25
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- columns.lfunc_lfunctions.analytic_conductor
- columns.lfunc_lfunctions.bad_primes
- columns.lfunc_search.analytic_conductor
- columns.lfunc_search.bad_primes
- lfunction.root_analytic_conductor
- lmfdb/lfunctions/main.py (line 322)
- lmfdb/lfunctions/main.py (line 473)
- lmfdb/lfunctions/templates/Lfunction.html (line 97)