Eine Bemerkung zum Primzahlsatz. (A remark concerning the prime number theorem)
It is shown that the function \(\zeta^{1/k}(s)\) (k large) can be used to derive the prime number theorem from the known zero-free regions for the Riemann zeta-function. For the proof no upper bound for \(| \zeta '(s)/\zeta (s)|\) is required.
scientific article; zbMATH DE number 3886003