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arXiv · 2203.09311

A recursive function coding number theoretic functions

Vesa Halava·Tero Harju·Teemu Pirttimäki
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Abstract

We show that there exists a fixed recursive function $e$ such that for all functions $h\colon \mathbb{N}\to \mathbb{N}$, there exists an injective function $c_h\colon \mathbb{N}\to \mathbb{N}$ such that $c_h(h(n))=e(c_h(n))$, i.e., $h=c_h^{-1}ec_h$.

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Vesa Halava, Tero Harju, Teemu Pirttimäki. 2022-03-17. A recursive function coding number theoretic functions. https://arxiv.org/abs/2203.09311

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