Članek obravnava dokaz praštevilskega izreka. V ta namen je predstavljena osnovna teorija neskončnih produktov in Riemannova funkcija zeta. Izpeljana je Eulerjeva produktna formula, njena meromorfna ...razširitev na desno polovico kompleksne ravnine in predpis za njen logaritmični odvod. Definirani sta Mangoldtova in psi funkcija. Z njuno pomočjo je poiskana ekvivalentna oblika praštevilskega izreka, ki je nazadnje dokazana z metodami kompleksne analize.
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