Squarefree Integers And Extreme Values Of Some Arithmetic Functions
General Mathematics
2011-03-10 v3 Number Theory
Abstract
A study of the Dedekind psi function concludes that its extreme values are supported on the subset of primorial integers N_k = 2*3***p_k, where p_k is the kth prime. In particular, the inequality psi(N_k) > cloglogN_k, c > 0 constant, holds for all large primorial integers.
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Cite
@article{arxiv.1012.4817,
title = {Squarefree Integers And Extreme Values Of Some Arithmetic Functions},
author = {N. A. Carella},
journal= {arXiv preprint arXiv:1012.4817},
year = {2011}
}
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Improved Version, 9 Pages