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arxiv: 1403.7813 · v2 · pith:KRTCW2RBnew · submitted 2014-03-30 · 🧮 math.NT

Multivariate arithmetical functions and vector calculus

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keywords arithmeticalcalculusfunctionsmultivariatevectoranaloguesconstructintegral
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The motivation of this paper is to construct the theory of vector calculus of multivariate arithmetical functions. We prove analogues of integral theorems and Poincare's lemma.

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