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The Selberg data for an L-function is the quadruple $(d, N,(\mu_1,\ldots,\mu_J:\nu_1,\ldots,\nu_K),\varepsilon)$ obtained from the parameters in the analytically normalized functional equation.

Here $d=J+2K$ is the degree of the L-function, $N$ is the conductor of the L-function, the set of $\mu_j$ and $\nu_k$ arising from the $\Gamma_{\mathbb R}$ and $\Gamma_{\mathbb C}$ factors, respectively, are the spectral parameters, and $\varepsilon$ is the sign of the L-function.

Knowl status:
  • Review status: reviewed
  • Last edited by Andrew Sutherland on 2019-05-13 06:30:06
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