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Line 19: Development of the explicit formulae for a wide class of L-functions took place in papers of [[André Weil]], who first extended the idea to [[local zeta-function]]s, and formulated a version of a [[generalized Riemann hypothesis]] in this setting, as a positivity statement for a [[generalized function]] on a [[topological group]]. More recent work by [[Alain Connes]] has gone much further into the functional-analytic background, providing a trace formula the validity of which is equivalent to such a generalized Riemann hypothesis. ==See also== *[[Selberg trace formula]] ==References==

Explicit formulae for L-functions: Difference between revisions