Zapiski Nauchnykh Seminarov POMI, Automorphic functions and number theory. Part II, Tome 134 (1984), pp. 34-58
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B. B. Venkov. On even unimodular euclidean lattices of dimension 32. II. Zapiski Nauchnykh Seminarov POMI, Automorphic functions and number theory. Part II, Tome 134 (1984), pp. 34-58. http://geodesic.mathdoc.fr/item/ZNSL_1984_134_a2/
@article{ZNSL_1984_134_a2,
author = {B. B. Venkov},
title = {On even unimodular euclidean lattices of {dimension~32.~II}},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {34--58},
year = {1984},
volume = {134},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_134_a2/}
}
TY - JOUR
AU - B. B. Venkov
TI - On even unimodular euclidean lattices of dimension 32. II
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1984
SP - 34
EP - 58
VL - 134
UR - http://geodesic.mathdoc.fr/item/ZNSL_1984_134_a2/
LA - ru
ID - ZNSL_1984_134_a2
ER -
%0 Journal Article
%A B. B. Venkov
%T On even unimodular euclidean lattices of dimension 32. II
%J Zapiski Nauchnykh Seminarov POMI
%D 1984
%P 34-58
%V 134
%U http://geodesic.mathdoc.fr/item/ZNSL_1984_134_a2/
%G ru
%F ZNSL_1984_134_a2
It is proved that with 15 explicit exceptions an even unimodular euclidean lattice $\wedge$ is generated by its shortest vectors (roots) and by vectors of squared length 4.
