Mixed $L^p(L^2)$ norms of the lattice point discrepancy

Leonardo Colzani, Bianca Gariboldi, Giacomo Gigante

We estimate some mixed $L^p\left(L^2\right)$ norms of the discrepancy between the volume and the number of integer points in $r\Omega -x$, a dilated by a factor $r$ and translated…