The Hexagonal Lattice and the Epstein Zeta Function
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Publication:2832882
DOI10.1142/9789814699877_0007zbMath1348.11033OpenAlexW2504219836MaRDI QIDQ2832882
Publication date: 15 November 2016
Published in: Dynamical Systems, Number Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/9789814699877_0007
Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Lattices and convex bodies (number-theoretic aspects) (11H06)
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Optimality of the triangular lattice for Lennard–Jones type lattice energies: a computer-assisted method ⋮ On Born's conjecture about optimal distribution of charges for an infinite ionic crystal ⋮ Equilateral Convex Triangulations of $$\mathbb R P^2$$ with Three Conical Points of Equal Defect ⋮ Maximal theta functions universal optimality of the hexagonal lattice for Madelung-like lattice energies
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