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Maass cusp forms for GSp(4)

Currently in the LMFDB, we have data on L-functions associated to Maass cusp forms for GSp(4) of level 1. These satisfy a functional equation with $$\Gamma$$-factors \begin{aligned}\Gamma_\R(s + i \mu_1)\Gamma_\R(s + i \mu_2)\Gamma_\R(s - i \mu_1)\Gamma_\R(s - i \mu_2)\end{aligned} with $$0 \le \mu_2 \le \mu_1$$.

L-functions of conductor 1

The dots in the plot correspond to L-functions with $$(\mu_1,\mu_2)$$ in the $$\Gamma$$-factors, colored according to the sign of the functional equation (blue indicates $$\epsilon=1$$). Click on any of the dots for detailed information about the L-function.

Maass cusp forms for GL(4)

Currently in the LMFDB, we have data on L-functions associated to Maass cusp forms for GL(4) of level 1. These satisfy a functional equation with $$\Gamma$$-factors \begin{aligned}\Gamma_\R(s + i \mu_1)\Gamma_\R(s + i \mu_2)\Gamma_\R(s - i \mu_3)\Gamma_\R(s - i \mu_4)\end{aligned} where $$\mu_1 + \mu_2 = \mu_3 + \mu_4$$.

L-functions of conductor 1

The dots in the plot correspond to L-functions with $$(\mu_1,\mu_2)$$ in the $$\Gamma$$-factors, colored according to the sign of the functional equation (blue indicates $$\epsilon=1$$). Click on any of the dots for detailed information about the L-function.