Universal optimality of the $E_8$ and Leech lattices and interpolation formulas

DOI10.4007/annals.2022.196.3.3zbMath1509.11061arXiv1902.05438MaRDI QIDQ6314069

Abhinav Kumar, Danylo V. Radchenko, Stephen D. Miller, Henry Cohn, Maryna S. Viazovska

Publication date: 13 February 2019

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Classical equilibrium statistical mechanics (general) (82B05) Holomorphic modular forms of integral weight (11F11) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Lattice packing and covering (number-theoretic aspects) (11H31) Discrete potential theory (31C20)

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