3 papers
math.NT2022
A Note on Fourier Eigenfunctions in Four Dimensions
Daniel Lautzenheiser
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 chec…
stat.ME2021
An Efficient Scheme for Sampling in Constrained Domains
Sharang Chaudhry, Daniel Lautzenheiser, Kaushik Ghosh
The creation of optimal samplers can be a challenging task, especially in the presence of constraints on the support of parameters. One way of mitigating the severity of this chall…
math.MG2020
A game of packings
Arthur Baragar, Daniel Lautzenheiser
In this note, we investigate an infinite one parameter family of circle packings, each with a set of three mutually tangent circles. We use these to generate an infinite set of cir…