Alec Shute, IST Austria

May 14th, 2021 4:00-4:30 pm CET

Title : 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.