A Dedekind Psi Function Inequality

N. A. Carella

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arXiv · 1112.0208

A Dedekind Psi Function Inequality

N. A. Carella

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Abstract

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

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N. A. Carella. 2011-12-22. A Dedekind Psi Function Inequality. https://arxiv.org/abs/1112.0208

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