Rational points on ellipsoids and modular forms
Number Theory
2024-02-01 v1
Abstract
The theory of modular forms and spherical harmonic analysis are applied to establish new best bounds towards the counting and equidistribution of rational points on spheres and other higher dimensional ellipsoids, in what may be viewed as a textbook display of the 'unreasonable effectiveness' of modular forms.
Cite
@article{arxiv.2401.18008,
title = {Rational points on ellipsoids and modular forms},
author = {Claire Burrin and Matthias Gröbner},
journal= {arXiv preprint arXiv:2401.18008},
year = {2024}
}
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28 pages