Content deleted Content added
m remove Erik9bot category,outdated, tag and general fixes |
Anne Bauval (talk | contribs) mNo edit summary |
||
Line 14:
:<math>Z(s) = Z(1-s)</math>
where ''Z''(''s'') is ζ(''s'') multiplied by a ''gamma-factor'', involving the [[gamma function]]. This is now read as an 'extra' factor in the [[Euler product]] for the zeta-function, corresponding to the [[infinite prime]]. Just the same shape of functional equation holds for the [[Dedekind zeta function]] of a [[number field]] ''K'', with an appropriate gamma-factor that depends only on the embeddings of ''K'' (in algebraic terms, on the [[tensor product of fields|tensor product]] of ''K'' with the [[real field]]).
There is a similar equation for the [[Dirichlet L-function]]s, but this time relating them in pairs:
| |||