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On Viazovska’s modular form inequalities

Viazovska proved that the [Formula: see text] lattice sphere packing is the densest sphere packing in [Formula: see text] 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...

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Detalles Bibliográficos
Autor principal: Romik, Dan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: National Academy of Sciences 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10614599/
https://www.ncbi.nlm.nih.gov/pubmed/37851677
http://dx.doi.org/10.1073/pnas.2304891120