344 citations · 2.7k across the 49 of their papers we have counts for
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math.MG2019
Dual linear programming bounds for sphere packing via modular forms
Henry Cohn, Nicholas Triantafillou
We obtain new restrictions on the linear programming bound for sphere packing, by optimizing over spaces of modular forms to produce feasible points in the dual linear program. In…
math.MG2019★ 9 cited
Universal optimality of the and Leech lattices and interpolation formulas
Henry Cohn, Abhinav Kumar, Stephen D. Miller +2
We prove that the root lattice and the Leech lattice are universally optimal among point configurations in Euclidean spaces of dimensions and , respectively. In other…