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math.MG2020★ 12 cited
Maximal Theta Functions -- Universal Optimality of the Hexagonal Lattice for Madelung-Like Lattice Energies
Laurent Bétermin, Markus Faulhuber
We present two families of lattice theta functions accompanying the family of lattice theta functions studied by Montgomery in [H.~Montgomery. Minimal theta functions. \textit{Glas…
math.MG2019★ 6 cited
An Extremal Property of the Hexagonal Lattice
Markus Faulhuber, Stefan Steinerberger
We describe an extremal property of the hexagonal lattice . Let denote the circumcenter of its fundamental triangle (a so-called deep hole) and let …