Daniel Lautzenheiser - A note on Fourier eigenfunctions in four dimensions

hrj:10909 - Hardy-Ramanujan Journal, February 6, 2023, Volume 45 - 2022 - https://doi.org/10.46298/hrj.2023.10909
A note on Fourier eigenfunctions in four dimensionsArticle

Authors: Daniel Lautzenheiser 1

  • 1 Eastern Sierra College Center


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.

https://doi.org/10.46298/hrj.2023.10909
Source: HAL:hal-03914232v1
Volume: Volume 45 - 2022
Published on: February 6, 2023
Imported on: February 6, 2023
Keywords: 52C26, 52C17, [MATH]Mathematics [math], [en] Sphere packing, Fourier analysis, Modular forms

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