Remarks on an Arithmetic Derivative

Author:

Barbeau E. J.

Abstract

Let D(n) denote a function of an integral variable n ≥ 0 such that(1)D(1) = D(0) = 0(2)D(p) = 1 for every prime p(3)D(n1n2) = n1D(n2) + n2D(n1) for every pair of non-negative integers n1, n2.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. We Can Differentiate Numbers, Too;The College Mathematics Journal;2023-11-03

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4. K-quasiderivations;Central European Journal of Mathematics;2012-01-04

5. How to Differentiate an Integer Modulo n;The College Mathematics Journal;2009-11

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