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math.MG2022★ 2 cited
Six-dimensional sphere packing and linear programming
Matthew de Courcy-Ireland, Maria Dostert, Maryna Viazovska
We prove that the Cohn-Elkies linear programming bound for sphere packing is not sharp in dimension 6. The proof uses duality and optimization over a space of modular forms, genera…
math.MG2016★ 13 cited
The Gaussian core model in high dimensions
Henry Cohn, Matthew de Courcy-Ireland
We prove lower bounds for energy in the Gaussian core model, in which point particles interact via a Gaussian potential. Under the potential function with $0…