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pro vyhledávání: '"Lattice points, Discrepancy"'
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 by a vector $x$ of a convex body $\Omega$ in $\mathbb{R}^{d}$, $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b75863cd0f0427a00e3f81687cd7216d
Revisiting and extending a recent result of M. Huxley, we estimate the Lp($\mathbb{T}$d) and Weak–Lp($\mathbb{T}$d) norms of the discrepancy between the volume and the number of integer points in translated domains.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9276aae178c4b2c231f6ad0ba1fee9ef
http://arxiv.org/abs/1503.06719
http://arxiv.org/abs/1503.06719