A Dedekind Psi Function Inequality
Number Theory
2011-12-26 v2
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.
Cite
@article{arxiv.1112.0208,
title = {A Dedekind Psi Function Inequality},
author = {N. A. Carella},
journal= {arXiv preprint arXiv:1112.0208},
year = {2011}
}
Comments
Improved Version, Seven Pages