Three applications of the Siegel mass formula
arXiv:1811.12828
summary
The paper uses the Siegel mass formula to obtain estimates for solutions of quadratic systems, the distribution of lattice points on caps of four‑dimensional spheres, and the count of non‑congruent lattice tetrahedra.
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.
Error in the proof of Theorem 2.1 has been corrected. arXiv admin note: substantial text overlap with arXiv:1312.1714
Topics & keywords
#siegel mass formula#quadratic equations#lattice points#sphere caps#lattice tetrahedraSiegel mass formulaquadratic systemlattice point distributionfour-dimensional spherenon-congruent lattice tetrahedra