We estimate some mixed Lp (L2) norms of the discrepancy between the volume and the number of integer points in rΩ - x, a dilation by a factor r and a translation by a vector x of a convex body Ω in Rd with smooth boundary with nonvanishing Gaussian curvature, (Formula Presented) We obtain estimates for fixed values of H and R → ∞, and also asymptotic estimates when H → ∞.
Mixed Lp(L2) norms of the lattice point discrepancy
Gariboldi, B;
2019-01-01
Abstract
We estimate some mixed Lp (L2) norms of the discrepancy between the volume and the number of integer points in rΩ - x, a dilation by a factor r and a translation by a vector x of a convex body Ω in Rd with smooth boundary with nonvanishing Gaussian curvature, (Formula Presented) We obtain estimates for fixed values of H and R → ∞, and also asymptotic estimates when H → ∞.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
