Functional equation (L-function): Difference between revisions

Revision as of 23:20, 4 November 2006

Revision as of 22:06, 16 April 2007

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:<math>\Lambda(s,\chi)=\varepsilon\Lambda(1-s,\chi^*)</math>

with &chi; a (primitive) [[primitive Dirichlet character]], &chi;^* its complex conjugate, &Lambda; the L-function multiplied by a gamma-factor, and &epsilon; a complex number of [[absolute value]] 1, of shape

:<math>G(\chi) \over {\left |G(\chi)\right \vert}</math>