Functional equation (L-function): Difference between revisions

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:<math>\Lambda(s,\chi)=\varepsilon\Lambda(1-s,\chi^*)</math>
 
with &chi; a (primitive) [[Dirichlet character]], &chi;<sup>*</sup> its complex conjugate, ''&Lambda;'' the L-function multiplied by a gamma-factor, and &epsilon; a complex number of [[absolute value]] 1, of shape
 
:''G''(&chi;)/|''G''(&chi;)|