The Dirichlet series of the arithmetic derivative

2022/12/11 by Es-said En-naoui, En-naoui, Es-said
Mathematics · #11Nxx #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #FOS: Mathematics #G.0 #General Mathematics (math.GM)

paper · pdf · doi:10.48550/arxiv.2305.09445

openalex publication_date 2022/12/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The main object of this paper is to give the generalized von mangoldt function using the L-additive function which can help us to make it possible to calculate The Dirichlet series of the arithmetic derivative δ and Dirichlet series defined by: ∑ _{n≥ 1} (f(n)δ(n))/(n^s) where f is a classical arithmetic function.

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