Fetching the paper…
Reading the bibliography…
G.F.
H. Minkowski, Diskontinuitätsbereich arithmetischer Äquivalenz , J. Reine Angew. Math. 129
1905
Earlier work this paper cites.
G.F. Voronoi, Nouvelles applications des paramètres continues à la théorie des formes quadratiques 1: Sur quelques propriétés des formes quadratiques positives parfaites , J. Reine Angew. Math. 133
1908
Earlier work this paper cites.
G.F. Voronoi, Nouvelles applications des paramètres continus à la théorie des formes quadratiques. Deuxiéme Mémoire. Recherches sur les parallélloedres primitifs , J. Reine Angew. Math. 134
1909
Earlier work this paper cites.
H.F. Blichfeldt, The minimum values of positive quadratic forms in six, seven and eight variables
1934
Earlier work this paper cites.
H.S.M. Coxeter, Extreme forms
1951
Earlier work this paper cites.
A. Schürmann, F. Vallentin, Local covering optimality of lattices: Leech lattice versus root lattice E 8 {E}_{8} , Internat. Math. Res. Notices (2005), 1937–1955
1955
Earlier work this paper cites.
M. Morse, Topologically non-degenerate functions on a compact n n manifold M M , Journal d’Analyse Mathématique, 7
1959
Earlier work this paper cites.
E.S. Barnes, T.J. Dickson, Extreme coverings of n-space by spheres , J. Austral. Math. Soc. 7
1967
Earlier work this paper cites.
B.N. Delone, N.P. Dolbilin, S.S. Ryshkov, M.I. S̆togrin, A new construction of the theory of lattice coverings of an n n -dimensional space by congruent balls , Math. USSR-Izv. 4
1970
Earlier work this paper cites.
H.S.M. Coxeter, Regular polytopes , Dover Publications, 1973
1973
Earlier work this paper cites.
M.I. S̆togrin, Locally quasidensest lattice packings of spheres. Soviet Math. Dokl. 15
1974
Earlier work this paper cites.
A. Ash, On eutactic forms , Canad. J. Math. 29
1977
Earlier work this paper cites.
P. Delsarte, J.M. Goethals, J.J. Seidel, Spherical codes and designs
1977
Earlier work this paper cites.
N.M. Vetchinkin, Uniqueness of classes of positive quadratic forms, on which values of Hermite constants are reached for 6 ≤ n ≤ 8 6\leq n\leq 8
1980
Earlier work this paper cites.
A. Schrijver, Theory of linear and integer programming
1986
Cited alongside, same era.
R.M. Erdahl, S.S. Ryshkov, The empty sphere , Canad. J. Math. 39
1987
Cited alongside, same era.
S.S. Ryshkov, R.M. Erdahl, The empty sphere II , Canad. J. Math. 40
1988
Cited alongside, same era.
J.H. Conway, N.J.A. Sloane, The cell structures of certain lattices
1991
Cited alongside, same era.
R.M. Erdahl, A cone of inhomogeneous second-order polynomials , Discrete Comput. Geom. 8
1992
Cited alongside, same era.
J. Nottebaum, Sphärische 4-designs in Gittern , Universität Oldenburg, 1995
1995
Cited alongside, same era.
S. Boyd, L. Vandenberghe, Convex optimization
2004
Later among the works it cites.
M. Dutour, The six-dimensional Delaunay polytopes , European J. Combin. 25
2004
Later among the works it cites.
M. Dutour, Infinite series of extreme Delaunay polytope
2005
Later among the works it cites.
Curtis T. McMullen, Minkowski’s conjecture, well-rounded lattices and topological dimension , J. Amer. Math. Soc. 18
2005
Later among the works it cites.
G. Nebe, B.B. Venkov, Low dimensional strongly perfect lattices. I: The 12-dimensional case
2005
Later among the works it cites.
A. Schürmann, F. Vallentin, Computational approaches to lattice packing and covering problems , Discrete Comput. Geom. 35
2006
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
M. Deza, M. Laurent, Geometry of Cuts and Metrics
1997
Cited alongside, same era.
J.H. Conway, N.J.A. Sloane, Sphere packings, lattices and groups (third edition)
1999
Cited alongside, same era.
W. Lempken, B. Schröder, P.H. Tiep, Symmetric squares, spherical designs, and lattice minima , J. Algebra 240
2001
Cited alongside, same era.
B.B. Venkov, Réseaux euclidean, designs sphériques, et formes modulaires , Monogr. Enseign. Math., vol. 37, Enseignement Math., Geneva, 2001, pp. 10–86
2001
Cited alongside, same era.
R.M. Erdahl, K. Rybnikov, On Voronoi’s two tilings of the cone of metrical forms , Rend. Circ. Mat. Palermo (2) Suppl. 70
2002
Cited alongside, same era.
R.M. Erdahl, K. Rybnikov, An infinite series of perfect quadratic forms and big Delaunay simplices in ℤ n \mathbb{Z}^{n} , Proc. Steklov Inst. Math. 239
2002
Cited alongside, same era.
A.-M. Bergé, J. Martinet On weakly eutactic forms
2007
Later among the works it cites.
H. Cohn, A. Kumar, Universally optimal distribution of points on spheres
2007
Later among the works it cites.
M. Dutour, R. Erdahl, K. Rybnikov, Perfect Delaunay polytopes in low dimensions , Integers 7
2007
Later among the works it cites.
M. Dutour Sikirić, A. Schürmann, F. Vallentin, A generalization of Voronoi’s reduction theory and its application , Duke Math. J. 142
2008
Later among the works it cites.
H. Cohn, A. Kumar, Optimality and uniqueness of the Leech lattice among lattices
2009
Later among the works it cites.
M. Dutour Sikirić, A. Schürmann, F. Vallentin, Complexity and algorithms for computing Voronoi cells of lattices , Math. Comput. 78
2009
Later among the works it cites.
A. Schürmann, Computational geometry of positive definite quadratic forms — Polyhedral Reduction Theories, Algorithms and Applications , AMS University Lecture Series, 2009
2009
Later among the works it cites.