Sums of four squareful numbers

Abstract: In this talk, I will present an asymptotic formula for the number of nonzero squareful integers $z_1, z_2, z_3, z_4$ which sum to zero, are coprime, and are bounded by $B$. Our result agrees in the power of $B$ and $\log B$ with the Manin-type conjecture for Campana points recently formulated by Pieropan, Smeets, Tanimoto and Várilly-Alvarado.

algebraic geometrycombinatoricsdynamical systemsgeneral topologynumber theory

Audience: researchers in the topic

ZORP (zoom on rational points)

Series comments: 2 talks on a Friday, roughly once per month.

Online coffee break in between.