Pseudo-normalized Hecke eigenform and its application to extremal $2$-modular lattices
Number Theory
2023-01-13 v2 Combinatorics
Abstract
It is shown that extremal -modular lattices of ranks and are generated by their vectors of minimal norm. In the proof, we use certain properties of the difference of normalized Hecke eigenforms. We refer to them as the pseudo-normalized Hecke eigenform, the concept of which is introduced in this paper.
Cite
@article{arxiv.2009.02842,
title = {Pseudo-normalized Hecke eigenform and its application to extremal $2$-modular lattices},
author = {Tsuyoshi Miezaki and Gabriele Nebe},
journal= {arXiv preprint arXiv:2009.02842},
year = {2023}
}
Comments
15 pages