Squarefree Integers And Extreme Values Of Some Arithmetic Functions

Details Squarefree Integers And Extreme Values Of Some Arithmetic Functions Squarefree Integers And Extreme Values Of Some Arithmetic Functions

2010-12-21

arxiv.org/abs/1012.4817v3

Mathematics

General Mathematics

Improved Version, 9 Pages

Scientific paper

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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