Explicit formulae for L-functions: Difference between revisions

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==Hilbert-Pólya conjecture==
According to the [[Hilbert-–Pólya conjecture]], the complex zeroes ρ should be the [[eigenvalue]]s of some [[linear operator]] ''T''. The sum over the zeros of the explicit formula is then (at least formally) given by a trace:
 
:<math> \sum_\rho F(\rho) = \operatorname{Tr}(F(\widehat T )).\!</math>