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A generalization of arithmetic derivative to p-adic fields and number fields

The arithmetic derivative is a function from the natural numbers to itself that sends all prime numbers to 1 and satisfies the Leibniz rule. The arithmetic partial derivative with respect to a prime p is the p-th component of the arithmetic derivative. In this paper, we generalize the arithmetic par...

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Autors principals: Brad Emmons, Xiao Xiao
Format: Artigo
Idioma:Inglês
Publicat: "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences 2024-05-01
Col·lecció:Notes on Number Theory and Discrete Mathematics
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Accés en línia:https://nntdm.net/papers/nntdm-30/NNTDM-30-2-357-382.pdf
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