Marco Cantarini

Assistant Professor

University of Perugia
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Italy

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About

Marco Cantarini is an Assistant Professor at the University of Perugia, Italy. His research areas encompass Fourier and Jacobi expansions, reaction-diffusion-convection models, neural network operators, and arithmetical functions. He has contributed to the field through numerous recent articles, exploring approximation results in Sobolev spaces and the interplay between various mathematical functions.

Articles (19)

Laplace convolutions of weighted averages of arithmetical functions

Let G ⁢ ( g ; x ) := ∑ n ≤ x g ⁢ ( n ) {G(g;x):=\sum_{n\leq x}g(n)} be the summatory function of an arithmetical function g ⁢ ( n ) {g(n)} . In this paper, we prove that we can write weighted averages of an arbitrary fixed number N of arithmetical functions g j ⁢ (

Year:

2024

Collaborators (3)

Alessandro Zaccagnini

University of Parma

ITALY

Danilo Costarelli

Associate Professor

University of Perugia

ITALY

Gianluca Vinti

-

ITALY
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