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arXiv · 2401.18008

Rational points on ellipsoids and modular forms

Claire Burrin·Matthias Gröbner
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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.

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Claire Burrin, Matthias Gröbner. 2024-01-31. Rational points on ellipsoids and modular forms. https://arxiv.org/abs/2401.18008

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