Planes in $\mathbb{Z^4}$ and Eisenstein series
Number Theory
2021-10-28 v1
Abstract
We study the number of two-dimensional sublattices of of a fixed covolume and construct the associated Dirichlet series. The latter is shown to be related to Eisenstein series on both and its metaplectic double cover.
Keywords
Cite
@article{arxiv.2110.13997,
title = {Planes in $\mathbb{Z^4}$ and Eisenstein series},
author = {Gautam Chinta and Valdir Pereira Júnior},
journal= {arXiv preprint arXiv:2110.13997},
year = {2021}
}
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19 pages