Journal Article
The sphere packing problem in dimension 8
Maryna S. Viazovska
Annals of Mathematics
SECOND SERIES, Vol. 185, No. 3 (May, 2017), pp. 991-1015
Published
by: Mathematics Department, Princeton University
https://www.jstor.org/stable/26395747
Page Count: 25
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Topics: Fourier transformations, Fourier coefficients, Mathematical lattices, Linear programming, Integers, Absolute convergence, Unit ball, Euclidean space, Mathematical constants, Eigenfunctions
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Abstract
In this paper we prove that no packing of unit balls in Euclidean space ℝ⁸ has density greater than that of the E₈-lattice packing.
Annals of Mathematics
© 2017 Annals of Mathematics
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