Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 5, Tome 82 (1979), pp. 147-148
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B. F. Skubenko. A remark on an upper bound on the Hermite constant for the densest lattice packings of spheres. Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 5, Tome 82 (1979), pp. 147-148. http://geodesic.mathdoc.fr/item/ZNSL_1979_82_a9/
@article{ZNSL_1979_82_a9,
author = {B. F. Skubenko},
title = {A remark on an upper bound on the {Hermite} constant for the densest lattice packings of spheres},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {147--148},
year = {1979},
volume = {82},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_82_a9/}
}
TY - JOUR
AU - B. F. Skubenko
TI - A remark on an upper bound on the Hermite constant for the densest lattice packings of spheres
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1979
SP - 147
EP - 148
VL - 82
UR - http://geodesic.mathdoc.fr/item/ZNSL_1979_82_a9/
LA - ru
ID - ZNSL_1979_82_a9
ER -
%0 Journal Article
%A B. F. Skubenko
%T A remark on an upper bound on the Hermite constant for the densest lattice packings of spheres
%J Zapiski Nauchnykh Seminarov POMI
%D 1979
%P 147-148
%V 82
%U http://geodesic.mathdoc.fr/item/ZNSL_1979_82_a9/
%G ru
%F ZNSL_1979_82_a9
We present a new variant of the proof of the upper bound on the Hermite constant $\gamma_n$. The bound as $n\to\infty$ is asymptotically equivalent to Blichfeldt's known bound.
