4 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…
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…
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_Ï+f(u)u_{x}=\left(D(u)u_{x}\right)_{x}+Ï(u),\quad u\left(Ï,x\ri…
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…