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arXiv · 1805.07967

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

Fatemah Ayatollah Zadeh Shirazi·Reza Yaghmaeian
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Abstract

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.

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Fatemah Ayatollah Zadeh Shirazi, Reza Yaghmaeian. 2018-05-21. Set-theoretical entropies of Euler's totient function and other number theoretical special functions. https://arxiv.org/abs/1805.07967

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