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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 [Math. Comp. 91 (2021), pp. 491-508] to the case of odd weight and non -trivial character.
Volkan Cevher, Grigorios Chrysos, Efstratios Panteleimon Skoulakis
Nikolaos Geroliminis, Claudia Bongiovanni, Mor Kaspi