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On Viazovska’s modular form inequalities.
- Source :
-
Proceedings of the National Academy of Sciences of the United States of America . 10/24/2023, Vol. 120 Issue 43, p1-5. 5p. - Publication Year :
- 2023
-
Abstract
- Viazovska proved that the E8 lattice sphere packing is the densest sphere packing in 8 dimensions. Her proof relies on two inequalities between functions defined in terms of modular and quasimodular forms. We give a direct proof of these inequalities that does not rely on computer calculations. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MODULAR forms
*SPHERE packings
*EISENSTEIN series
Subjects
Details
- Language :
- English
- ISSN :
- 00278424
- Volume :
- 120
- Issue :
- 43
- Database :
- Academic Search Index
- Journal :
- Proceedings of the National Academy of Sciences of the United States of America
- Publication Type :
- Academic Journal
- Accession number :
- 173580562
- Full Text :
- https://doi.org/10.1073/pnas.2304891120