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Publication
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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, generalizing a construction of Cohn-Triantafillou to the case of odd weight and non-trivial character.
Maryna Viazovska, Matthew De Courcy-Ireland, Maria Margarethe Dostert
Nikolaos Geroliminis, Claudia Bongiovanni, Mor Kaspi
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