Spherical designs and heights of Euclidean lattices

DOI10.1016/j.jnt.2014.02.015zbMath1304.11060arXiv1401.2891OpenAlexW2025186532MaRDI QIDQ402650

Renaud Coulangeon, Giovanni Lazzarini

Publication date: 28 August 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.2891

zbMATH Keywords

heightspherical designquadratic formmodular formzeta functionEuclidean lattice

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Lattice packing and covering (number-theoretic aspects) (11H31) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

Related Items (11)

Kronecker's limit formula and the height of Euclidean lattices ⋮ On Born's conjecture about optimal distribution of charges for an infinite ionic crystal ⋮ Minimization of energy per particle among Bravais lattices in ℝ²: Lennard–Jones and Thomas–Fermi cases ⋮ Three‐dimensional lattice ground states for Riesz and Lennard‐Jones–type energies ⋮ Dimension reduction techniques for the minimization of theta functions on lattices ⋮ Renormalized energy and asymptotic expansion of optimal logarithmic energy on the sphere ⋮ On the optimality of the rock-salt structure among lattices with charge distributions ⋮ Optimal and non-optimal lattices for non-completely monotone interaction potentials ⋮ Two-Dimensional Theta Functions and Crystallization among Bravais Lattices ⋮ Minimal soft lattice theta functions ⋮ On energy ground states among crystal lattice structures with prescribed bonds

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