FMF, Mathematical Library, Lj. (MAKLJ)
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Praštevilski izrek [Elektronski vir]Maier, AndražČlanek 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.Source: Matrika [Elektronski vir] : izbrane teme sodobne fizike in matematike. - ISSN 2385-8567 (Letn. 8, št. 2, 2021, 26 str.)Type of material - e-article ; adult, seriousPublish date - 2021Language - slovenianCOBISS.SI-ID - 78204419
Author
Maier, Andraž
Topics
praštevilski izrek |
Riemannova funkcija zeta |
prime number theorem |
Riemann zeta function
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Maier, Andraž |
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