A Characterisation of Leech's Lattice.
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CONWAY.J.H. (1969)
Inventiones mathematicae
Kenji Okuda, Syouji Yano (2010)
Journal de Théorie des Nombres de Bordeaux
Let be an algebraic number field and the ring of integers of . In this paper, we prove an analogue of Voronoï’s theorem for -lattices and the finiteness of the number of similar isometry classes of perfect -lattices.
J.A. Rush (1989)
Inventiones mathematicae
V.C. Dumir, R.J. Hans-Gills (1994)
Monatshefte für Mathematik
Fiset, Matthew H.J., Kasprzyk, Alexander M. (2008)
The Electronic Journal of Combinatorics [electronic only]
L. Low (1976)
Acta Arithmetica
B. Uhrin (1987)
Monatshefte für Mathematik
Stephen S.-T. Yau, Yi-Jing Xu (1995)
Journal für die reine und angewandte Mathematik
I. S. Luthar, M. Vinyard (1977)
Colloquium Mathematicae
Arne J. Brentjes (1981)
Journal für die reine und angewandte Mathematik
Christian Drouin (2014)
Journal de Théorie des Nombres de Bordeaux
A Lagrange Theorem in dimension 2 is proved in this paper, for a particular two dimensional continued fraction algorithm, with a very natural geometrical definition. Dirichlet type properties for the convergence of this algorithm are also proved. These properties proceed from a geometrical quality of the algorithm. The links between all these properties are studied. In relation with this algorithm, some references are given to the works of various authors, in the domain of multidimensional continued...
L. Mordell (1972)
Acta Arithmetica
Olivier Teulie (2002)
Acta Arithmetica
Javier Cilleruelo (1991)
Acta Arithmetica
Ren Ding, J. R. Reay (1987)
Applicationes Mathematicae
Harsh Anand Passi (1974)
Monatshefte für Mathematik
Jiří Janáček (2008)
Czechoslovak Mathematical Journal
The variance of the number of lattice points inside the dilated bounded set with random position in has asymptotics if the rotational average of the squared modulus of the Fourier transform of the set is . The asymptotics follow from Wiener’s Tauberian theorem.
Solé, Patrick (1997)
The Electronic Journal of Combinatorics [electronic only]
A.I. Barvinok (1994)
Discrete & computational geometry
G. Robert (1990)
Inventiones mathematicae
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