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pro vyhledávání: '"Lattice points, Discrepancy"'
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Autor:
S. K. Zaremba
Publikováno v:
Annali di Matematica Pura ed Applicata. 73:293-317
Methods based on Diophantine approximations lead to a simple and easy construction of rational vectors the multiple of which, reduced modulo 1, form finite sequences of points with certain properties of equipartition over the unit square. Given a fun
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
Autor:
Bräuniger, Thomas1 (AUTHOR) thomas.braeuniger@cup.lmu.de
Publikováno v:
Molecules. Sep2024, Vol. 29 Issue 17, p4148. 39p.
Autor:
Ashuiev, Anton, Allouche, Florian, Islam, Md. Ashraful, Carvalho, José P., Sanders, Kevin J., Conley, Matthew P., Klose, Daniel, Lapadula, Giuseppe, Wörle, Michael, Baabe, Dirk, Walter, Marc D., Pell, Andrew J., Copéret, Christophe, Jeschke, Gunnar, Pintacuda, Guido, Andersen, Richard A.
Publikováno v:
Physical Chemistry Chemical Physics (PCCP); 3/21/2024, Vol. 26 Issue 11, p8734-8747, 14p
Autor:
Lu, Jianfeng1 (AUTHOR), Sachs, Matthias2,3 (AUTHOR) msachs@math.duke.edu, Steinerberger, Stefan4 (AUTHOR)
Publikováno v:
Constructive Approximation. Feb2020, Vol. 51 Issue 1, p27-48. 22p.
Publikováno v:
Communications in Statistics: Simulation & Computation; 2021, Vol. 50 Issue 11, p3650-3668, 19p
Autor:
Mentink-Vigier, Frédéric
Publikováno v:
Physical Chemistry Chemical Physics (PCCP); 2/14/2020, Vol. 22 Issue 6, p3643-3652, 10p
Autor:
Nowak, W. G.1 nowak@boku.ac.at
Publikováno v:
Acta Mathematica Hungarica. Jul2008, Vol. 120 Issue 1/2, p179-192. 14p. 1 Diagram.