六维球体包装和线性规划

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS ACS Applied Bio Materials Pub Date : 2024-03-20 DOI:10.1090/mcom/3959

Matthew de Courcy-Ireland, Maria Dostert, Maryna Viazovska

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引用次数: 0

摘要

我们证明了 Cohn-Elkies 线性编程约束在维度 6 中并不尖锐。证明使用了模块形式空间上的对偶性和优化，将 Cohn-Triantafillou [Math. Comp. 91 (2021), pp.

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Six-dimensional sphere packing and linear programming

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.

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464