A Dedekind Psi Function Inequality
Abstract
This note shows that the Dedekind psi function achieves its extreme values on the subset of primorial integers Nk = 2*3*5*...*pk, where pk is the kth prime. In particular, the inequality psi(Nk) > cloglog Nk, where c = 1.08... is a universal constant, holds for all large primorial integers Nk = 2*3*5*...*pk unconditionally.
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