On minima of sum of theta functions and application to Mueller-Ho conjecture

DOI10.1007/s00205-021-01725-5zbMath1489.82014arXiv2004.13882OpenAlexW3216915741WikidataQ113906098 ScholiaQ113906098MaRDI QIDQ2069720

Senping Luo, Wei, Juncheng

Publication date: 21 January 2022

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.13882

zbMATH Keywords

minimization problemsintertwining lattices

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Theta series; Weil representation; theta correspondences (11F27) Optimization of shapes other than minimal surfaces (49Q10) Elliptic functions and integrals (33E05)

Related Items (2)

On minima of difference of theta functions and application to hexagonal crystallization ⋮ Maximal theta functions universal optimality of the hexagonal lattice for Madelung-like lattice energies

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