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pro vyhledávání: '"Sören Lennart Berg"'
Autor:
Martin Henk, Sören Lennart Berg
Publikováno v:
Mosc. J. Comb. Number Theory 8, no. 4 (2019), 367-378
As a discrete counterpart to the classical theorem of Fritz John on the approximation of symmetric n-dimensional convex bodies K by ellipsoids, Tao and Vu introduced so called generalized arithmetic progressions P(A,b)⊂ℤn in order to cover (many
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc1c33df447c8e6113e8f6b6fc1af98e
https://doi.org/10.2140/moscow.2019.8.367
https://doi.org/10.2140/moscow.2019.8.367
Autor:
Sören Lennart Berg, Martin Henk
Publikováno v:
SIAM Journal on Discrete Mathematics. 30:1148-1158
We study upper bounds on the number of lattice points for convex bodies having their centroid at the origin. For the family of simplices as well as in the planar case we obtain best possible results. For arbitrary convex bodies we provide an upper bo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::571f9f577519774964f4953d1bedf9e5
https://doi.org/10.1137/15m1031369
https://doi.org/10.1137/15m1031369
The notion of Ehrhart tensor polynomials, a natural generalization of the Ehrhart polynomial of a lattice polytope, was recently introduced by Ludwig and Silverstein. We initiate a study of their coefficients. In the vector and matrix cases, we give
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8ff886c628e2b4acbfaf59d1d46791ae
http://arxiv.org/abs/1706.01738
http://arxiv.org/abs/1706.01738
