On arithmetic lattices in the plane

DOI10.1090/proc/13374zbMath1358.11074arXiv1607.04044OpenAlexW2964121348MaRDI QIDQ2957790

Lenny Fukshansky, Florian Luca, Pavel I. Guerzhoy

Publication date: 30 January 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.04044

zbMATH Keywords

\(j\)-invariantwell-rounded latticearithmetic latticesemi-stable lattice

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Lattices and convex bodies (number-theoretic aspects) (11H06) Heights (11G50) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (6)

Cyclic and well-rounded lattices ⋮ On the error term of a lattice counting problem ⋮ On lattice extensions ⋮ Deep hole lattices and isogenies of elliptic curves ⋮ On sparse geometry of numbers ⋮ Binary polynomial power sums vanishing at roots of unity

Cites Work

• Revisiting the hexagonal lattice: on optimal lattice circle packing
• Stability of ideal lattices from quadratic number fields
• Stability of lattices and the partition of arithmetic quotients
• Transcendental Numbers
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