The sphere packing problem in dimension 8The sphere packing problem in dimension 8

By Maryna S. Viazovska. 2016

378 citations recorded by the source corpus.

In this paper we prove that no packing of unit balls in Euclidean space R-8 has density greater than that of the E8-lattice packing.

Subfields: Applied Mathematics, Computer Graphics and Computer-Aided Design, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/92cf773116009de780eefe1e3f93ee43312cd9bd

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Henry Cohn
2. Danylo V. Radchenko
3. Abhinav Kumar
4. Stephen D. Miller
5. Maryna S. Viazovska
6. Salvatore Torquato
7. Abhinav Kumar

In Computer Graphics and Computer-Aided Design

1. Henry Cohn
2. Danylo V. Radchenko
3. Maryna S. Viazovska
4. Abhinav Kumar
5. Stephen D. Miller

In Numerical Analysis

1. Danylo V. Radchenko
2. Henry Cohn
3. Maryna S. Viazovska
4. Abhinav Kumar
5. Stephen D. Miller
6. Salvatore Torquato
7. Frank Vallentin

Citations in the corpus

• The sphere packing problem in dimension 24 (2016, methodology): “Our approach is based on a new connection with quasimodular forms discovered by Viazovska [12], and our proof techniques are analogous to hers.”
• A conceptual breakthrough in sphere packing (2016, background): “1090/noti1474 On March 14, 2016, the world of mathematics received an extraordinary Pi Day surprise when Maryna Viazovska posted to the arXiv a solution of the sphere packing problem in eight dimensions [15].”