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The root number of an Artin representation $\rho$, also called the sign, is the constant $W(\rho)$ appearing in the functional equation of the associated L-function, i.e. the complex number $W(\rho)$ of absolute value $1$ such that $\Lambda(s,\rho)=W(\rho)\Lambda(1-s,\overline{\rho})$. It can be expressed as a product of local root numbers.

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  • Review status: reviewed
  • Last edited by David Farmer on 2012-06-28 08:57:15
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