4 citations · 10 across the 12 of their papers we have counts for
16 papers
Averages of diagonal Elliott-Halberstam problem twisted by Möbius function with Sobolev and Hölder-Zygmund weights
Marco Cantarini
Recalling that the so-called Elliott-Halberstam conjecture twisted by the Möbius function claims that \[ \sum_{q\leq N^θ}\max_{y\leq N}\max_{(a,q)=1}\left|\sum_{\underset{\s…
On the discrete convolution of the Liouville and Möbius functions
Marco Cantarini, Alessandro Gambini, Alessandro Zaccagnini
In this article we study some properties of the discrete convolution of Liouville function , which is a Goldbach-t…
Wavefront Solutions for Reaction-diffusion-convection Models with Accumulation Term and Aggregative Movements
Marco Cantarini, Cristina Marcelli, Francesca Papalini
In this paper we analyze the wavefront solutions of parabolic partial differential equations of the type \[ g(u)u_τ+f(u)u_{x}=\left(D(u)u_{x}\right)_{x}+ρ(u),\quad u\left(τ,x\right…
Simultaneous approximation by neural network operators with applications to Voronovskaja formulas
Marco Cantarini, Danilo Costarelli
In this paper, we considered the problem of the simultaneous approximation of a function and its derivatives by means of the well-known neural network (NN) operators activated by s…
Laplace convolutions of weighted averages of arithmetical functions
Marco Cantarini, Alessandro Gambini, Alessandro Zaccagnini
Let be the summatory function of an arithmetical function . In this paper, we prove that we can write weighted averages of an arbitrary fixed num…
A note on Clebsch-Gordan integral, Fourier-Legendre expansions and closed form for hypergeometric series
Marco Cantarini
In this paper we show that a closed form formula for the generalized Clebsch-Gordan integral and the Fourier-Legendre expansion theory allow to evaluate hypergeometric series invol…