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arXiv · 1804.08103

Arithmetical properties at the level of idempotence

Fethi Bouzeffour·Wissem Jedidi
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Abstract

In this paper we give an attempt to extend some arithmetic properties such as multiplicativity, convolution products to the setting of operators theory. We provide a significant examples which are of interest in number theory. We also give a representation of the Euler differential operator by means of the Euler totient arithmetic function and idempotent elements of some associative unital algebra.

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Fethi Bouzeffour, Wissem Jedidi. 2018-04-22. Arithmetical properties at the level of idempotence. https://arxiv.org/abs/1804.08103

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