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 → ∞.
Colzani, L., Gariboldi, B., Gigante, G. (2019). Mixed Lp(L2) norms of the lattice point discrepancy. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 371(11), 7669-7706 [10.1090/tran/7624].
Mixed Lp(L2) norms of the lattice point discrepancy
Colzani, L;Gariboldi, B;
2019
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:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Mixex L(p)L(2) norms of Discrepancy.pdf
Solo gestori archivio
Tipologia di allegato:
Publisher’s Version (Version of Record, VoR)
Dimensione
392.33 kB
Formato
Adobe PDF
|
392.33 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
