English

A Note on Fourier Eigenfunctions in Four Dimensions

Number Theory 2022-12-06 v3

Abstract

In this note, we exhibit a weakly holomorphic modular form for use in constructing a Fourier eigenfunction in four dimensions. Such auxiliary functions may be of use to the D4 checkerboard lattice and the four dimensional sphere packing problem.

Keywords

Cite

@article{arxiv.2208.14534,
  title  = {A Note on Fourier Eigenfunctions in Four Dimensions},
  author = {Daniel Lautzenheiser},
  journal= {arXiv preprint arXiv:2208.14534},
  year   = {2022}
}

Comments

6 pages, comments welcome

R2 v1 2026-06-28T00:26:37.580Z