Algebraic proof of modular form inequalities for optimal sphere packings
Number Theory
2026-05-06 v4
Abstract
We give algebraic proofs of Viazovska and Cohn-Kumar-Miller-Radchenko-Viazovska's modular form inequalities for 8 and 24-dimensional optimal sphere packings.
Keywords
Cite
@article{arxiv.2406.14659,
title = {Algebraic proof of modular form inequalities for optimal sphere packings},
author = {Seewoo Lee},
journal= {arXiv preprint arXiv:2406.14659},
year = {2026}
}
Comments
Accepted version, to appear in Algebra and Number Theory