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The infinity factor $L_{\infty}(s)$ of an L-function $L(s)$ is the product of its Gamma factors: \[ L_{\infty}(s) := \prod_{j=1}^J \Gamma_{\mathbb R}(s+\mu_j) \prod_{k=1}^K \Gamma_{\mathbb C}(s+\nu_k). \] Here the $\mu_j$ and $\nu_k$ are the spectral parameters of the L-function.

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  • Review status: beta
  • Last edited by Andrew Sutherland on 2020-12-11 17:52:28
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