A Note on Fourier Eigenfunctions in Four Dimensions
Daniel Lautzenheiser
TL;DR
This paper introduces a weakly holomorphic modular form to construct Fourier eigenfunctions in four dimensions, which could aid in lattice and sphere packing problems.
Contribution
It presents a novel modular form for creating Fourier eigenfunctions in four dimensions, relevant to lattice and sphere packing research.
Findings
Provides a new modular form for 4D Fourier eigenfunctions
Potential applications to D4 lattice and sphere packing
Lays groundwork for further mathematical exploration
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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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Advanced Mathematical Identities · Mathematics and Applications