A Note on Fourier Eigenfunctions in Four Dimensions

2022/08/30 by Lautzenheiser, Daniel
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2208.14534

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.

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