Maximal theta functions universal optimality of the hexagonal lattice for Madelung-like lattice energies
نویسندگان
چکیده
We present two families of lattice theta functions accompanying the family studied by Montgomery in [H. Montgomery, Minimal functions. Glasgow Mathematical Journal, 30 (1988), 75–85]. The are generalizations Jacobi theta-2 and theta-4 Contrary to Montgomery’s result, we show that, among lattices, hexagonal is unique maximizer both As an immediate consequence, obtain a new universal optimality result for two-dimensional alternating charged lattices shifted center their unit cell.
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ژورنال
عنوان ژورنال: Journal D Analyse Mathematique
سال: 2023
ISSN: ['0021-7670', '1565-8538']
DOI: https://doi.org/10.1007/s11854-022-0254-z