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math.NT2026
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…
math.NT2026
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…