Dirichlet product of derivative arithmetic with an arithmetic function multiplicative
Abstract
We define the derivative of an integer to be the map sending every prime to 1 and satisfying the Leibniz rule. The aim of this article is to calculate the Dirichlet product of this map with a function arithmetic multiplicative.
- Publication:
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arXiv e-prints
- Pub Date:
- August 2019
- DOI:
- 10.48550/arXiv.1908.07345
- arXiv:
- arXiv:1908.07345
- Bibcode:
- 2019arXiv190807345E
- Keywords:
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- Mathematics - General Mathematics