Three applications of the Siegel mass formula
Number Theory
2019-08-07 v2 Classical Analysis and ODEs
Abstract
We present three applications of the Siegel mass formula. First we estimate the number of solutions of a quadratic system of equations. We also include estimates for the distribution of lattice points on caps of four dimensional spheres and for the number of non-congruent lattice tetrahedra.
Cite
@article{arxiv.1811.12828,
title = {Three applications of the Siegel mass formula},
author = {Jean Bourgain and Ciprian Demeter},
journal= {arXiv preprint arXiv:1811.12828},
year = {2019}
}
Comments
Error in the proof of Theorem 2.1 has been corrected. arXiv admin note: substantial text overlap with arXiv:1312.1714