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arXiv:1805.07967 [math.NT]AbstractReferencesReviewsResources

Set-theoretical entropies of Euler's totient function and other number theoretical special functions

Fatemah Ayatollah Zadeh Shirazi, Reza Yaghmaeian

Published 2018-05-21Version 1

In the following text we show set--theoretical entropy of Euler's totient function and contravariant set--theoretical entropy of Dedekind psi function are zero. Also contravariant set--theoretical entropy of Euler's totient function and set--theoretical entropy of Dedekind psi function are $+\infty$. We pay attention to some of the other number theoretical special functions too. We continue our studies on Alexandroff topologies induced by Euler's totient function and Dedekind psi function.

Comments: 7 pages
Categories: math.NT
Subjects: 11A25, 11Y70, 33F99
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